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312321204 = 223313474733
BaseRepresentation
bin10010100111011…
…010010010110100
3210202200120011000
4102213122102310
51114423234304
650554043300
710511454306
oct2247322264
9722616130
10312321204
1115032a5a8
1288719530
134c923060
142d69d976
151c644939
hex129da4b4

312321204 has 96 divisors (see below), whose sum is σ = 890749440. Its totient is φ = 94034304.

The previous prime is 312321197. The next prime is 312321211. The reversal of 312321204 is 402123213.

It is an interprime number because it is at equal distance from previous prime (312321197) and next prime (312321211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63622 + ... + 68354.

It is an arithmetic number, because the mean of its divisors is an integer number (9278640).

Almost surely, 2312321204 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 312321204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445374720).

312321204 is an abundant number, since it is smaller than the sum of its proper divisors (578428236).

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

312321204 is a wasteful number, since it uses less digits than its factorization.

312321204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312321204 is about 17672.6116915412. The cubic root of 312321204 is about 678.4749589218.

Adding to 312321204 its reverse (402123213), we get a palindrome (714444417).

The spelling of 312321204 in words is "three hundred twelve million, three hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 4733 5076 5499 7332 9466 10998 14199 16497 18932 21996 28398 32994 42597 56796 61529 65988 85194 123058 127791 170388 184587 222451 246116 255582 369174 444902 511164 553761 667353 738348 889804 1107522 1334706 1661283 2002059 2215044 2669412 2891863 3322566 4004118 5783726 6006177 6645132 8008236 8675589 11567452 12012354 17351178 24024708 26026767 34702356 52053534 78080301 104107068 156160602 312321204