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352051252 = 22731612109
BaseRepresentation
bin10100111110111…
…110000000110100
3220112110001112021
4110332332000310
51210111120002
654533402524
711503246330
oct2476760064
9815401467
10352051252
111707a6353
1299a99444
1357c23a67
1434a827c0
1520d91737
hex14fbe034

352051252 has 72 divisors (see below), whose sum is σ = 745704960. Its totient is φ = 142300800.

The previous prime is 352051243. The next prime is 352051261. The reversal of 352051252 is 252150253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352051243) and next prime (352051261).

It is a super-3 number, since 3×3520512523 (a number of 27 digits) contains 333 as substring.

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, 3229774 + ... + 3229882.

Almost surely, 2352051252 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 352051252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372852480).

352051252 is an abundant number, since it is smaller than the sum of its proper divisors (393653708).

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

352051252 is a wasteful number, since it uses less digits than its factorization.

352051252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 352051252 is about 18763.0288599682. The cubic root of 352051252 is about 706.1039338516.

Subtracting from 352051252 its reverse (252150253), we obtain a palindrome (99900999).

The spelling of 352051252 in words is "three hundred fifty-two million, fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 61 62 109 122 124 217 218 244 427 434 436 763 854 868 1526 1708 1891 3052 3379 3721 3782 6649 6758 7442 7564 13237 13298 13516 14884 23653 26047 26474 26596 46543 47306 52094 52948 93086 94612 104188 115351 186172 206119 230702 405589 412238 461404 807457 811178 824476 1442833 1614914 1622356 2839123 2885666 3229828 5678246 5771332 11356492 12573259 25146518 50293036 88012813 176025626 352051252