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1357440336 = 2433739161
BaseRepresentation
bin101000011101000…
…1110010101010000
310111121021010002000
41100322032111100
510240001042321
6342410354000
745432024000
oct12072162520
93447233060
101357440336
1163727001a
1231a72b900
131882c9b45
14cc3d4000
157e289826
hex50e8e550

1357440336 has 160 divisors (see below), whose sum is σ = 4544352000. Its totient is φ = 387797760.

The previous prime is 1357440311. The next prime is 1357440373. The reversal of 1357440336 is 6330447531.

1357440336 is a `hidden beast` number, since 13 + 574 + 40 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1357440336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143596 + ... + 152756.

It is an arithmetic number, because the mean of its divisors is an integer number (28402200).

Almost surely, 21357440336 is an apocalyptic number.

1357440336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272176000).

1357440336 is an abundant number, since it is smaller than the sum of its proper divisors (3186911664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1357440336 is an equidigital number, since it uses as much as digits as its factorization.

1357440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9199 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 1357440336 is about 36843.4571667752. The cubic root of 1357440336 is about 1107.2361332626.

Adding to 1357440336 its reverse (6330447531), we get a palindrome (7687887867).

The spelling of 1357440336 in words is "one billion, three hundred fifty-seven million, four hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9161 9261 10584 12348 16464 18322 18522 21168 24696 27483 36644 37044 49392 54966 64127 73288 74088 82449 109932 128254 146576 148176 164898 192381 219864 247347 256508 329796 384762 439728 448889 494694 513016 577143 659592 769524 897778 989388 1026032 1154286 1319184 1346667 1539048 1731429 1795556 1978776 2308572 2693334 3078096 3142223 3462858 3591112 3957552 4040001 4617144 5386668 6284446 6925716 7182224 8080002 9234288 9426669 10773336 12120003 12568892 13851432 16160004 18853338 21546672 24240006 25137784 27702864 28280007 32320008 37706676 48480012 50275568 56560014 64640016 75413352 84840021 96960024 113120028 150826704 169680042 193920048 226240056 339360084 452480112 678720168 1357440336