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127996344 = 233272291109
BaseRepresentation
bin1111010000100…
…01000110111000
322220211212222100
413220101012320
5230231340334
620411223400
73112644120
oct750210670
9286755870
10127996344
1166283603
1236a47b60
13206967a8
1412ddbc80
15b384c99
hex7a111b8

127996344 has 96 divisors (see below), whose sum is σ = 398268000. Its totient is φ = 36377856.

The previous prime is 127996339. The next prime is 127996367. The reversal of 127996344 is 443699721.

It is a happy number.

127996344 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 9 + 634 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127996344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114862 + ... + 115970.

It is an arithmetic number, because the mean of its divisors is an integer number (4148625).

Almost surely, 2127996344 is an apocalyptic number.

127996344 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 127996344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199134000).

127996344 is an abundant number, since it is smaller than the sum of its proper divisors (270271656).

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

127996344 is a wasteful number, since it uses less digits than its factorization.

127996344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 127996344 is about 11313.5469239315. The cubic root of 127996344 is about 503.9636217129.

The spelling of 127996344 in words is "one hundred twenty-seven million, nine hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 252 458 504 687 916 1109 1374 1603 1832 2061 2218 2748 3206 3327 4122 4436 4809 5496 6412 6654 7763 8244 8872 9618 9981 12824 13308 14427 15526 16488 19236 19962 23289 26616 28854 31052 38472 39924 46578 57708 62104 69867 79848 93156 115416 139734 186312 253961 279468 507922 558936 761883 1015844 1523766 1777727 2031688 2285649 3047532 3555454 4571298 5333181 6095064 7110908 9142596 10666362 14221816 15999543 18285192 21332724 31999086 42665448 63998172 127996344