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2696929344 = 2634520241
BaseRepresentation
bin1010000010111111…
…1110000001000000
320221221202012120000
42200233332001000
521010403214334
61123340320000
7123555343524
oct24057760100
96857665500
102696929344
111164389a2a
12633243000
1333c97cba5
141b8273d84
1510bb7a299
hexa0bfe040

2696929344 has 70 divisors (see below), whose sum is σ = 7994558814. Its totient is φ = 898974720.

The previous prime is 2696929343. The next prime is 2696929349. The reversal of 2696929344 is 4439296962.

It can be written as a sum of positive squares in only one way, i.e., 2694855744 + 2073600 = 51912^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2696929343) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 254937 + ... + 265304.

Almost surely, 22696929344 is an apocalyptic number.

2696929344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2696929344 is an abundant number, since it is smaller than the sum of its proper divisors (5297629470).

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

2696929344 is an equidigital number, since it uses as much as digits as its factorization.

2696929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520265 (or 520246 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 2696929344 is about 51931.9684202323. The cubic root of 2696929344 is about 1391.9485712272.

The spelling of 2696929344 in words is "two billion, six hundred ninety-six million, nine hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 520241 1040482 1560723 2080964 3121446 4161928 4682169 6242892 8323856 9364338 12485784 14046507 16647712 18728676 24971568 28093014 33295424 37457352 42139521 49943136 56186028 74914704 84279042 99886272 112372056 149829408 168558084 224744112 299658816 337116168 449488224 674232336 898976448 1348464672 2696929344