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312033996 = 22328667611
BaseRepresentation
bin10010100110010…
…100001011001100
3210202010222011200
4102212110023030
51114340041441
650543545500
710506150051
oct2246241314
9722128150
10312033996
1115015383a
12885bb290
134c852401
142d627028
151c5d97b6
hex129942cc

312033996 has 18 divisors (see below), whose sum is σ = 788752692. Its totient is φ = 104011320.

The previous prime is 312033991. The next prime is 312034001. The reversal of 312033996 is 699330213.

It is a happy number.

312033996 is a `hidden beast` number, since 312 + 0 + 339 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (312033991) and next prime (312034001).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8667611 = 312033996 / (3 + 1 + 2 + 0 + 3 + 3 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 312033996.

It is not an unprimeable number, because it can be changed into a prime (312033991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4333770 + ... + 4333841.

It is an arithmetic number, because the mean of its divisors is an integer number (43819594).

Almost surely, 2312033996 is an apocalyptic number.

312033996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312033996 is an abundant number, since it is smaller than the sum of its proper divisors (476718696).

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

312033996 is a wasteful number, since it uses less digits than its factorization.

312033996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667621 (or 8667616 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 312033996 is about 17664.4840286944. The cubic root of 312033996 is about 678.2669218159.

The spelling of 312033996 in words is "three hundred twelve million, thirty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 8667611 17335222 26002833 34670444 52005666 78008499 104011332 156016998 312033996