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334772152 = 231121337719
BaseRepresentation
bin10011111101000…
…011011110111000
3212022221012001121
4103331003132320
51141200202102
653115155024
711203342051
oct2375033670
9768835047
10334772152
11161a74300
1294145a74
1354483c40
1432665728
151e5cbb37
hex13f437b8

334772152 has 96 divisors (see below), whose sum is σ = 764164800. Its totient is φ = 136477440.

The previous prime is 334772149. The next prime is 334772159. The reversal of 334772152 is 251277433.

It is a super-2 number, since 2×3347721522 = 224144787509422208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334772159) 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 23 ways as a sum of consecutive naturals, for example, 465249 + ... + 465967.

It is an arithmetic number, because the mean of its divisors is an integer number (7960050).

Almost surely, 2334772152 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 334772152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382082400).

334772152 is an abundant number, since it is smaller than the sum of its proper divisors (429392648).

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

334772152 is a wasteful number, since it uses less digits than its factorization.

334772152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 782 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 334772152 is about 18296.7798259694. The cubic root of 334772152 is about 694.3574635312.

The spelling of 334772152 in words is "three hundred thirty-four million, seven hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 121 143 148 242 286 296 407 481 484 572 719 814 962 968 1144 1438 1573 1628 1924 2876 3146 3256 3848 4477 5291 5752 6292 7909 8954 9347 10582 12584 15818 17908 18694 21164 26603 31636 35816 37388 42328 53206 58201 63272 74776 86999 102817 106412 116402 173998 205634 212824 232804 292633 345839 347996 411268 465608 585266 691678 695992 822536 1130987 1170532 1383356 2261974 2341064 2766712 3218963 3804229 4523948 6437926 7608458 9047896 12875852 15216916 25751704 30433832 41846519 83693038 167386076 334772152