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312487380 = 223253475003
BaseRepresentation
bin10010101000000…
…010110111010100
3210210000000002200
4102220002313110
51114444044010
651001404500
710513045632
oct2250026724
9723000080
10312487380
11150433437
1288799730
134c98089a
142d704352
151c678cc0
hex12a02dd4

312487380 has 72 divisors (see below), whose sum is σ = 950800032. Its totient is φ = 83073216.

The previous prime is 312487367. The next prime is 312487391. The reversal of 312487380 is 83784213.

312487380 is a `hidden beast` number, since 31 + 248 + 7 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 59959 + ... + 64961.

It is an arithmetic number, because the mean of its divisors is an integer number (13205556).

Almost surely, 2312487380 is an apocalyptic number.

312487380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312487380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475400016).

312487380 is an abundant number, since it is smaller than the sum of its proper divisors (638312652).

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

312487380 is a wasteful number, since it uses less digits than its factorization.

312487380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 312487380 is about 17677.3125785567. The cubic root of 312487380 is about 678.5952691057.

The spelling of 312487380 in words is "three hundred twelve million, four hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 1041 1388 1735 2082 3123 3470 4164 5003 5205 6246 6940 10006 10410 12492 15009 15615 20012 20820 25015 30018 31230 45027 50030 60036 62460 75045 90054 100060 150090 180108 225135 300180 450270 900540 1736041 3472082 5208123 6944164 8680205 10416246 15624369 17360410 20832492 26040615 31248738 34720820 52081230 62497476 78121845 104162460 156243690 312487380