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312430040 = 23513600827
BaseRepresentation
bin10010100111110…
…100110111011000
3210202220002102222
4102213310313120
51114440230130
651000243212
710512416516
oct2247646730
9722802388
10312430040
111503a434a
1288770508
134c960760
142d6cb4b6
151c666ce5
hex129f4dd8

312430040 has 32 divisors (see below), whose sum is σ = 757043280. Its totient is φ = 115358592.

The previous prime is 312430039. The next prime is 312430043. The reversal of 312430040 is 40034213.

It is a super-2 number, since 2×3124300402 = 195225059788803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312430043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299894 + ... + 300933.

Almost surely, 2312430040 is an apocalyptic number.

It is an amenable number.

312430040 is an abundant number, since it is smaller than the sum of its proper divisors (444613240).

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

312430040 is a wasteful number, since it uses less digits than its factorization.

312430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600851 (or 600847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 312430040 is about 17675.6906512872. The cubic root of 312430040 is about 678.5537601942.

Adding to 312430040 its reverse (40034213), we get a palindrome (352464253).

The spelling of 312430040 in words is "three hundred twelve million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 600827 1201654 2403308 3004135 4806616 6008270 7810751 12016540 15621502 24033080 31243004 39053755 62486008 78107510 156215020 312430040