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312552352 = 2571395323
BaseRepresentation
bin10010101000010…
…010101110100000
3210210010022020001
4102220102232200
51120003133402
651003025344
710513436230
oct2250225640
9723108201
10312552352
11150478232
128880b254
134c9a4328
142d71dcc0
151c68d187
hex12a12ba0

312552352 has 24 divisors (see below), whose sum is σ = 703243296. Its totient is φ = 133950912.

The previous prime is 312552341. The next prime is 312552403. The reversal of 312552352 is 253255213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312552352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697438 + ... + 697885.

It is an arithmetic number, because the mean of its divisors is an integer number (29301804).

Almost surely, 2312552352 is an apocalyptic number.

312552352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312552352 is an abundant number, since it is smaller than the sum of its proper divisors (390690944).

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

312552352 is a wasteful number, since it uses less digits than its factorization.

312552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395340 (or 1395332 counting only the distinct ones).

The product of its digits is 9000, while the sum is 28.

The square root of 312552352 is about 17679.1502058215. The cubic root of 312552352 is about 678.6422967504.

The spelling of 312552352 in words is "three hundred twelve million, five hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1395323 2790646 5581292 9767261 11162584 19534522 22325168 39069044 44650336 78138088 156276176 312552352