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312140325 = 35273716069
BaseRepresentation
bin10010100110101…
…110001000100101
3210202100101000210
4102212232020211
51114401442300
650550130033
710510102050
oct2246561045
9722311023
10312140325
11150216712
1288650919
134c88b923
142d653a97
151c60b050
hex129ae225

312140325 has 48 divisors (see below), whose sum is σ = 605774720. Its totient is φ = 138827520.

The previous prime is 312140317. The next prime is 312140327. The reversal of 312140325 is 523041213.

It is not a de Polignac number, because 312140325 - 23 = 312140317 is a prime.

It is a super-2 number, since 2×3121403252 = 194863164982211250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312140327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11391 + ... + 27459.

Almost surely, 2312140325 is an apocalyptic number.

312140325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312140325 is a deficient number, since it is larger than the sum of its proper divisors (293634395).

312140325 is a wasteful number, since it uses less digits than its factorization.

312140325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16126 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 312140325 is about 17667.4934554962. The cubic root of 312140325 is about 678.3439553594.

Adding to 312140325 its reverse (523041213), we get a palindrome (835181538).

The spelling of 312140325 in words is "three hundred twelve million, one hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 37 75 105 111 175 185 259 525 555 777 925 1295 2775 3885 6475 16069 19425 48207 80345 112483 241035 337449 401725 562415 594553 1205175 1687245 1783659 2812075 2972765 4161871 8436225 8918295 12485613 14863825 20809355 44591475 62428065 104046775 312140325