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153364431 = 31147611621
BaseRepresentation
bin10010010010000…
…10011111001111
3101200120201110010
421021002133033
5303230130211
623115044303
73541401423
oct1111023717
9350521403
10153364431
117962aa70
1243440693
1325a093ac
1416522b83
15d6e64a6
hex92427cf

153364431 has 32 divisors (see below), whose sum is σ = 231699456. Its totient is φ = 89424000.

The previous prime is 153364397. The next prime is 153364439. The reversal of 153364431 is 134463351.

153364431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153364431 - 211 = 153362383 is a prime.

It is a super-2 number, since 2×1533644312 = 47041297391907522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153364439) 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, 93801 + ... + 95421.

It is an arithmetic number, because the mean of its divisors is an integer number (7240608).

Almost surely, 2153364431 is an apocalyptic number.

153364431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153364431 is a deficient number, since it is larger than the sum of its proper divisors (78335025).

153364431 is a wasteful number, since it uses less digits than its factorization.

153364431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743.

The product of its digits is 12960, while the sum is 30.

The square root of 153364431 is about 12384.0393652475. The cubic root of 153364431 is about 535.2724393415.

The spelling of 153364431 in words is "one hundred fifty-three million, three hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 47 61 141 183 517 671 1551 1621 2013 2867 4863 8601 17831 31537 53493 76187 94611 98881 228561 296643 838057 1087691 2514171 3263073 4647407 13942221 51121477 153364431