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352096272 = 2432111991117
BaseRepresentation
bin10100111111001…
…001000000010000
3220112112100021200
4110333021000100
51210114040042
654534351200
711503524513
oct2477110020
9815470250
10352096272
11170827160
1299abb500
1357c3b3b8
1434a94d7a
1520d9ec4c
hex14fc9010

352096272 has 120 divisors (see below), whose sum is σ = 1081329600. Its totient is φ = 106064640.

The previous prime is 352096267. The next prime is 352096273. The reversal of 352096272 is 272690253.

352096272 is a `hidden beast` number, since 3 + 5 + 20 + 9 + 627 + 2 = 666.

352096272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (352096273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314658 + ... + 315774.

It is an arithmetic number, because the mean of its divisors is an integer number (9011080).

Almost surely, 2352096272 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 352096272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540664800).

352096272 is an abundant number, since it is smaller than the sum of its proper divisors (729233328).

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

352096272 is a wasteful number, since it uses less digits than its factorization.

352096272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 352096272 is about 18764.2285213115. The cubic root of 352096272 is about 706.1340312157.

The spelling of 352096272 in words is "three hundred fifty-two million, ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 199 264 396 398 528 597 792 796 1117 1194 1584 1592 1791 2189 2234 2388 3184 3351 3582 4378 4468 4776 6567 6702 7164 8756 8936 9552 10053 12287 13134 13404 14328 17512 17872 19701 20106 24574 26268 26808 28656 35024 36861 39402 40212 49148 52536 53616 73722 78804 80424 98296 105072 110583 147444 157608 160848 196592 221166 222283 294888 315216 442332 444566 589776 666849 884664 889132 1333698 1769328 1778264 2000547 2445113 2667396 3556528 4001094 4890226 5334792 7335339 8002188 9780452 10669584 14670678 16004376 19560904 22006017 29341356 32008752 39121808 44012034 58682712 88024068 117365424 176048136 352096272