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1453341344 = 257133891283
BaseRepresentation
bin101011010100000…
…0011101010100000
310202021201101112012
41112220003222200
510434023410334
6400114052052
751005124530
oct12650035240
93667641465
101453341344
11686411954
1234687a028
131a21369c0
14db0394c0
15878ce9ce
hex56a03aa0

1453341344 has 96 divisors (see below), whose sum is σ = 3533362560. Its totient is φ = 573023232.

The previous prime is 1453341301. The next prime is 1453341353. The reversal of 1453341344 is 4431433541.

It is a super-2 number, since 2×14533413442 = 4224402124359452672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1453341344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132127 + ... + 1133409.

It is an arithmetic number, because the mean of its divisors is an integer number (36805860).

Almost surely, 21453341344 is an apocalyptic number.

1453341344 is a gapful number since it is divisible by the number (14) 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 1453341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766681280).

1453341344 is an abundant number, since it is smaller than the sum of its proper divisors (2080021216).

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

1453341344 is a wasteful number, since it uses less digits than its factorization.

1453341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 1453341344 is about 38122.7142790227. The cubic root of 1453341344 is about 1132.7199322711.

Adding to 1453341344 its reverse (4431433541), we get a palindrome (5884774885).

The spelling of 1453341344 in words is "one billion, four hundred fifty-three million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 389 416 728 778 1283 1456 1556 2566 2723 2912 3112 5057 5132 5446 6224 8981 10114 10264 10892 12448 16679 17962 20228 20528 21784 33358 35399 35924 40456 41056 43568 66716 70798 71848 80912 87136 116753 133432 141596 143696 161824 233506 266864 283192 287392 467012 499087 533728 566384 934024 998174 1132768 1868048 1996348 3493609 3736096 3992696 6488131 6987218 7985392 12976262 13974436 15970784 25952524 27948872 45416917 51905048 55897744 90833834 103810096 111795488 181667668 207620192 363335336 726670672 1453341344