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352056996 = 223341433
BaseRepresentation
bin10100111110111…
…111011010100100
3220112110100102000
4110332333122210
51210111310441
654533445300
711503302144
oct2476773244
9815410360
10352056996
111707aa6a5
1299aa0830
1357c26565
1434a84924
1520d932b6
hex14fbf6a4

352056996 has 96 divisors (see below), whose sum is σ = 957264000. Its totient is φ = 111827520.

The previous prime is 352056989. The next prime is 352056997. The reversal of 352056996 is 699650253.

It is not an unprimeable number, because it can be changed into a prime (352056997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8187351 + ... + 8187393.

It is an arithmetic number, because the mean of its divisors is an integer number (9971500).

Almost surely, 2352056996 is an apocalyptic number.

352056996 is a gapful number since it is divisible by the number (36) 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 352056996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478632000).

352056996 is an abundant number, since it is smaller than the sum of its proper divisors (605207004).

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

352056996 is an equidigital number, since it uses as much as digits as its factorization.

352056996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 352056996 is about 18763.1819263152. The cubic root of 352056996 is about 706.1077740490.

It can be divided in two parts, 3520 and 56996, that added together give a square (60516 = 2462).

The spelling of 352056996 in words is "three hundred fifty-two million, fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 43 54 82 86 108 123 129 164 172 246 258 369 387 492 516 738 774 1107 1161 1476 1548 1763 1849 2214 2322 3526 3698 4428 4644 5289 5547 7052 7396 10578 11094 15867 16641 21156 22188 31734 33282 47601 49923 63468 66564 75809 79507 95202 99846 151618 159014 190404 199692 227427 238521 303236 318028 454854 477042 682281 715563 909708 954084 1364562 1431126 2046843 2146689 2729124 2862252 3259787 4093686 4293378 6519574 8187372 8586756 9779361 13039148 19558722 29338083 39117444 58676166 88014249 117352332 176028498 352056996