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146385315 = 3257145817
BaseRepresentation
bin10001011100110…
…10100110100011
3101012110010220100
420232122212203
5244433312230
622305313443
73425153226
oct1056324643
9335403810
10146385315
11756a34aa
1241035883
132443483b
14156275bd
15ccb8660
hex8b9a9a3

146385315 has 24 divisors (see below), whose sum is σ = 257313888. Its totient is φ = 76970880.

The previous prime is 146385277. The next prime is 146385347. The reversal of 146385315 is 513583641.

146385315 is a `hidden beast` number, since 1 + 4 + 638 + 5 + 3 + 15 = 666.

146385315 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 146385315 - 26 = 146385251 is a prime.

It is a super-3 number, since 3×1463853153 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 146385315.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19714 + ... + 26103.

It is an arithmetic number, because the mean of its divisors is an integer number (10721412).

Almost surely, 2146385315 is an apocalyptic number.

146385315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146385315 is a deficient number, since it is larger than the sum of its proper divisors (110928573).

146385315 is a wasteful number, since it uses less digits than its factorization.

146385315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45899 (or 45896 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 146385315 is about 12098.9799156788. The cubic root of 146385315 is about 527.0265617257.

The spelling of 146385315 in words is "one hundred forty-six million, three hundred eighty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 71 213 355 639 1065 3195 45817 137451 229085 412353 687255 2061765 3253007 9759021 16265035 29277063 48795105 146385315