Search a number
-
+
1356889344 = 2833156993
BaseRepresentation
bin101000011100000…
…0111110100000000
310111120020010020220
41100320013310000
510234330424334
6342350503040
745424240416
oct12070076400
93446203226
101356889344
11636a24058
1231a504a80
13188166105
14cc2cd2b6
157e1cb449
hex50e07d00

1356889344 has 72 divisors (see below), whose sum is σ = 3727863552. Its totient is φ = 437698560.

The previous prime is 1356889333. The next prime is 1356889361. The reversal of 1356889344 is 4439886531.

It is a super-2 number, since 2×13568893442 = 3682297383721500672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4689 + ... + 52304.

Almost surely, 21356889344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863931776).

1356889344 is an abundant number, since it is smaller than the sum of its proper divisors (2370974208).

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

1356889344 is an equidigital number, since it uses as much as digits as its factorization.

1356889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57043 (or 57029 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 1356889344 is about 36835.9789336458. The cubic root of 1356889344 is about 1107.0863020450.

The spelling of 1356889344 in words is "one billion, three hundred fifty-six million, eight hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 56993 113986 170979 227972 341958 455944 683916 911888 1367832 1766783 1823776 2735664 3533566 3647552 5300349 5471328 7067132 7295104 10600698 10942656 14134264 14590208 21201396 21885312 28268528 42402792 43770624 56537056 84805584 113074112 169611168 226148224 339222336 452296448 678444672 1356889344