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312670540 = 2257131491153
BaseRepresentation
bin10010101000101…
…111100101001100
3210210100022100101
4102220233211030
51120020424130
651005340444
710514440630
oct2250574514
9723308311
10312670540
11150549006
1288867724
134ca16070
142d750dc0
151c6b31ca
hex12a2f94c

312670540 has 96 divisors (see below), whose sum is σ = 814262400. Its totient is φ = 98205696.

The previous prime is 312670531. The next prime is 312670541. The reversal of 312670540 is 45076213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 312670499 and 312670508.

It is not an unprimeable number, because it can be changed into a prime (312670541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270604 + ... + 271756.

It is an arithmetic number, because the mean of its divisors is an integer number (8481900).

Almost surely, 2312670540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312670540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407131200).

312670540 is an abundant number, since it is smaller than the sum of its proper divisors (501591860).

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

312670540 is a wasteful number, since it uses less digits than its factorization.

312670540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 312670540 is about 17682.4924713684. The cubic root of 312670540 is about 678.7278261746.

The spelling of 312670540 in words is "three hundred twelve million, six hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 182 260 298 364 455 596 745 910 1043 1153 1490 1820 1937 2086 2306 2980 3874 4172 4612 5215 5765 7748 8071 9685 10430 11530 13559 14989 16142 19370 20860 23060 27118 29978 32284 38740 40355 54236 59956 67795 74945 80710 104923 135590 149890 161420 171797 209846 271180 299780 343594 419692 524615 687188 858985 1049230 1202579 1717970 2098460 2233361 2405158 3435940 4466722 4810316 6012895 8933444 11166805 12025790 15633527 22333610 24051580 31267054 44667220 62534108 78167635 156335270 312670540