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151304352 = 25317831117
BaseRepresentation
bin10010000010010…
…11100010100000
3101112201001112220
421001023202200
5302213214402
623002551040
73515031363
oct1101134240
9345631486
10151304352
1178453221
1242808480
1325467804
14161480da
15d43adbc
hex904b8a0

151304352 has 96 divisors (see below), whose sum is σ = 425984832. Its totient is φ = 46854144.

The previous prime is 151304341. The next prime is 151304357. The reversal of 151304352 is 253403151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (151304357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134898 + ... + 136014.

It is an arithmetic number, because the mean of its divisors is an integer number (4437342).

Almost surely, 2151304352 is an apocalyptic number.

151304352 is a gapful number since it is divisible by the number (12) 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 151304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212992416).

151304352 is an abundant number, since it is smaller than the sum of its proper divisors (274680480).

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

151304352 is a wasteful number, since it uses less digits than its factorization.

151304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 151304352 is about 12300.5834007985. The cubic root of 151304352 is about 532.8649318010.

The spelling of 151304352 in words is "one hundred fifty-one million, three hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1117 1328 1411 1632 1992 2234 2656 2822 3351 3984 4233 4468 5644 6702 7968 8466 8936 11288 13404 16932 17872 18989 22576 26808 33864 35744 37978 45152 53616 56967 67728 75956 92711 107232 113934 135456 151912 185422 227868 278133 303824 370844 455736 556266 607648 741688 911472 1112532 1483376 1576087 1822944 2225064 2966752 3152174 4450128 4728261 6304348 8900256 9456522 12608696 18913044 25217392 37826088 50434784 75652176 151304352