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312771540 = 223519274361
BaseRepresentation
bin10010101001001…
…000001111010100
3210210112102220010
4102221020033110
51120032142130
651011440220
710515341244
oct2251101724
9723472803
10312771540
11150607984
12888b6070
134ca50023
142d779b24
151c6d30b0
hex12a483d4

312771540 has 48 divisors (see below), whose sum is σ = 921856320. Its totient is φ = 79015680.

The previous prime is 312771527. The next prime is 312771601. The reversal of 312771540 is 45177213.

312771540 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 312771498 and 312771507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136041 + ... + 138320.

It is an arithmetic number, because the mean of its divisors is an integer number (19205340).

Almost surely, 2312771540 is an apocalyptic number.

312771540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312771540 is an abundant number, since it is smaller than the sum of its proper divisors (609084780).

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

312771540 is a wasteful number, since it uses less digits than its factorization.

312771540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274392 (or 274390 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 312771540 is about 17685.3481729934. The cubic root of 312771540 is about 678.8009000353.

The spelling of 312771540 in words is "three hundred twelve million, seven hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 274361 548722 823083 1097444 1371805 1646166 2743610 3292332 4115415 5212859 5487220 8230830 10425718 15638577 16461660 20851436 26064295 31277154 52128590 62554308 78192885 104257180 156385770 312771540