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161268324 = 223717313643
BaseRepresentation
bin10011001110011…
…00001001100100
3102020110021112220
421213030021210
5312241041244
624000312340
73665521020
oct1147141144
9366407486
10161268324
1183039308
12460126b0
1327545b59
14175bd380
15e258319
hex99cc264

161268324 has 96 divisors (see below), whose sum is σ = 470163456. Its totient is φ = 41955840.

The previous prime is 161268319. The next prime is 161268329. The reversal of 161268324 is 423862161.

161268324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161268319) and next prime (161268329).

It is not an unprimeable number, because it can be changed into a prime (161268329) 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, 42447 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (4897536).

Almost surely, 2161268324 is an apocalyptic number.

161268324 is a gapful number since it is divisible by the number (14) 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 161268324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235081728).

161268324 is an abundant number, since it is smaller than the sum of its proper divisors (308895132).

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

161268324 is a wasteful number, since it uses less digits than its factorization.

161268324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3703 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 161268324 is about 12699.1465854994. The cubic root of 161268324 is about 544.3142332814.

The spelling of 161268324 in words is "one hundred sixty-one million, two hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1302 1428 1581 2108 2604 3162 3643 3689 6324 7286 7378 10929 11067 14572 14756 21858 22134 25501 43716 44268 51002 61931 76503 102004 112933 123862 153006 185793 225866 247724 306012 338799 371586 433517 451732 677598 743172 790531 867034 1300551 1355196 1581062 1734068 1919861 2371593 2601102 3162124 3839722 4743186 5202204 5759583 7679444 9486372 11519166 13439027 23038332 26878054 40317081 53756108 80634162 161268324