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312554142 = 232197091289
BaseRepresentation
bin10010101000010…
…011001010011110
3210210010101200100
4102220103022132
51120003213032
651003041530
710513444365
oct2250231236
9723111610
10312554142
1115047960a
12888102a6
134c9a50a4
142d7207dc
151c68d97c
hex12a1329e

312554142 has 48 divisors (see below), whose sum is σ = 714402000. Its totient is φ = 98485632.

The previous prime is 312554131. The next prime is 312554147. The reversal of 312554142 is 241455213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312554147) 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 23 ways as a sum of consecutive naturals, for example, 241834 + ... + 243122.

It is an arithmetic number, because the mean of its divisors is an integer number (14883375).

Almost surely, 2312554142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312554142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357201000).

312554142 is an abundant number, since it is smaller than the sum of its proper divisors (401847858).

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

312554142 is a wasteful number, since it uses less digits than its factorization.

312554142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2022 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 312554142 is about 17679.2008303543. The cubic root of 312554142 is about 678.6435922853.

The spelling of 312554142 in words is "three hundred twelve million, five hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 709 1289 1418 2127 2578 3867 4254 6381 7734 11601 12762 13471 23202 24491 26942 40413 48982 73473 80826 121239 146946 220419 242478 440838 913901 1827802 2741703 5483406 8225109 16450218 17364119 34728238 52092357 104184714 156277071 312554142