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352152432 = 243219312671
BaseRepresentation
bin10100111111010…
…110101101110000
3220112122012022200
4110333112231300
51210122334212
654535503200
711504150322
oct2477265560
9815565280
10352152432
11170865375
1299b27b00
1357c5ab28
1434aab612
1520db16dc
hex14fd6b70

352152432 has 60 divisors (see below), whose sum is σ = 990722304. Its totient is φ = 116766720.

The previous prime is 352152431. The next prime is 352152461. The reversal of 352152432 is 234251253.

It is a happy number.

It is a super-2 number, since 2×3521524322 = 248022670727029248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352152396 and 352152405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352152431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21457 + ... + 34127.

Almost surely, 2352152432 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 352152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495361152).

352152432 is an abundant number, since it is smaller than the sum of its proper divisors (638569872).

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

352152432 is a wasteful number, since it uses less digits than its factorization.

352152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12869 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 352152432 is about 18765.7249260454. The cubic root of 352152432 is about 706.1715724434.

The spelling of 352152432 in words is "three hundred fifty-two million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 12671 13896 25342 27792 38013 50684 76026 101368 114039 152052 202736 228078 304104 456156 608208 912312 1824624 2445503 4891006 7336509 9782012 14673018 19564024 22009527 29346036 39128048 44019054 58692072 88038108 117384144 176076216 352152432