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352422432 = 25321223689
BaseRepresentation
bin10101000000011…
…000101000100000
3220120010220200200
4111000120220200
51210210004212
654545345200
711506353435
oct2500305040
9816126620
10352422432
11170a2a20a
129a038200
13580239ab
1434b3bb8c
1520e166dc
hex15018a20

352422432 has 36 divisors (see below), whose sum is σ = 1002202110. Its totient is φ = 117474048.

The previous prime is 352422383. The next prime is 352422503. The reversal of 352422432 is 234224253.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 213276816 + 139145616 = 14604^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 352422396 and 352422405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611557 + ... + 612132.

Almost surely, 2352422432 is an apocalyptic number.

352422432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352422432 is an abundant number, since it is smaller than the sum of its proper divisors (649779678).

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

352422432 is a wasteful number, since it uses less digits than its factorization.

352422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223705 (or 1223694 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 352422432 is about 18772.9175143343. The cubic root of 352422432 is about 706.3520034151.

Adding to 352422432 its reverse (234224253), we get a palindrome (586646685).

The spelling of 352422432 in words is "three hundred fifty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1223689 2447378 3671067 4894756 7342134 9789512 11013201 14684268 19579024 22026402 29368536 39158048 44052804 58737072 88105608 117474144 176211216 352422432