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153401352 = 233132321377
BaseRepresentation
bin10010010010010…
…11100000001000
3101200122121002120
421021023200020
5303232320402
623115531240
73541614156
oct1111134010
9350577076
10153401352
1179655785
1243459b20
1325a20140
14165323d6
15d7023bc
hex924b808

153401352 has 64 divisors (see below), whose sum is σ = 430980480. Its totient is φ = 45146112.

The previous prime is 153401351. The next prime is 153401363. The reversal of 153401352 is 253104351.

153401352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (153401351) 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, 3513 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (6734070).

Almost surely, 2153401352 is an apocalyptic number.

153401352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153401352 is an abundant number, since it is smaller than the sum of its proper divisors (277579128).

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

153401352 is a wasteful number, since it uses less digits than its factorization.

153401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21422 (or 21418 counting only the distinct ones).

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

The square root of 153401352 is about 12385.5299442535. The cubic root of 153401352 is about 535.3153897786.

The spelling of 153401352 in words is "one hundred fifty-three million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 21377 42754 64131 85508 128262 171016 256524 277901 491671 513048 555802 833703 983342 1111604 1475013 1667406 1966684 2223208 2950026 3334812 3933368 5900052 6391723 6669624 11800104 12783446 19175169 25566892 38350338 51133784 76700676 153401352