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312775140 = 223533115749
BaseRepresentation
bin10010101001001…
…001000111100100
3210210112121211110
4102221021013210
51120032301030
651011505020
710515354606
oct2251110744
9723477743
10312775140
1115060a657
12888b8170
134ca51862
142d77b176
151c6d41b0
hex12a491e4

312775140 has 48 divisors (see below), whose sum is σ = 878472000. Its totient is φ = 83149440.

The previous prime is 312775139. The next prime is 312775153. The reversal of 312775140 is 41577213.

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 = 312775098 and 312775107.

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, 11986 + ... + 27734.

It is an arithmetic number, because the mean of its divisors is an integer number (18301500).

Almost surely, 2312775140 is an apocalyptic number.

312775140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312775140 is an abundant number, since it is smaller than the sum of its proper divisors (565696860).

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

312775140 is a wasteful number, since it uses less digits than its factorization.

312775140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16092 (or 16090 counting only the distinct ones).

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

The square root of 312775140 is about 17685.4499518672. The cubic root of 312775140 is about 678.8035043578.

The spelling of 312775140 in words is "three hundred twelve million, seven hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 15749 19860 31498 47247 62996 78745 94494 157490 188988 236235 314980 472470 944940 5212919 10425838 15638757 20851676 26064595 31277514 52129190 62555028 78193785 104258380 156387570 312775140