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7344317696 = 28172531873
BaseRepresentation
bin1101101011100000…
…10110010100000000
3200221211121222212112
412311300112110000
5110020121131241
63212434114452
7346666445642
oct66560262400
920854558775
107344317696
113129748651
12150b71ba28
1390074c921
144d9588892
152ceb7e1eb
hex1b5c16500

7344317696 has 108 divisors (see below), whose sum is σ = 15875324892. Its totient is φ = 3389128704.

The previous prime is 7344317693. The next prime is 7344317719. The reversal of 7344317696 is 6967134437.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 71639296 + 7272678400 = 8464^2 + 85280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344317693) 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 11 ways as a sum of consecutive naturals, for example, 3920216 + ... + 3922088.

It is an arithmetic number, because the mean of its divisors is an integer number (146993749).

Almost surely, 27344317696 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 7344317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937662446).

7344317696 is an abundant number, since it is smaller than the sum of its proper divisors (8531007196).

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

7344317696 is a wasteful number, since it uses less digits than its factorization.

7344317696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1945 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

The square root of 7344317696 is about 85698.9947198916. The cubic root of 7344317696 is about 1943.7951090037.

The spelling of 7344317696 in words is "seven billion, three hundred forty-four million, three hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 289 424 544 578 848 901 1088 1156 1696 1802 1873 2176 2312 3392 3604 3746 4352 4624 6784 7208 7492 9248 13568 14416 14984 15317 18496 28832 29968 30634 31841 36992 57664 59936 61268 63682 73984 99269 115328 119872 122536 127364 198538 230656 239744 245072 254728 397076 479488 490144 509456 541297 794152 980288 1018912 1082594 1588304 1687573 1960576 2037824 2165188 3176608 3375146 3921152 4075648 4330376 6353216 6750292 8151296 8660752 12706432 13500584 17321504 25412864 27001168 28688741 34643008 54002336 57377482 69286016 108004672 114754964 138572032 216009344 229509928 432018688 459019856 918039712 1836079424 3672158848 7344317696