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630067312 = 24731892039
BaseRepresentation
bin100101100011100…
…001000001110000
31121220120201212101
4211203201001300
52242244123222
6142304310144
721420324640
oct4543410160
91556521771
10630067312
112a3724996
12157012354
13a06c53c4
145d972520
153a4ab927
hex258e1070

630067312 has 80 divisors (see below), whose sum is σ = 1457049600. Its totient is φ = 258255360.

The previous prime is 630067301. The next prime is 630067331. The reversal of 630067312 is 213760036.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 307989 + ... + 310027.

It is an arithmetic number, because the mean of its divisors is an integer number (18213120).

Almost surely, 2630067312 is an apocalyptic number.

630067312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630067312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

630067312 is an abundant number, since it is smaller than the sum of its proper divisors (826982288).

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

630067312 is a wasteful number, since it uses less digits than its factorization.

630067312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 630067312 is about 25101.1416473435. The cubic root of 630067312 is about 857.2924183674.

The spelling of 630067312 in words is "six hundred thirty million, sixty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 89 112 124 178 217 248 356 434 496 623 712 868 1246 1424 1736 2039 2492 2759 3472 4078 4984 5518 8156 9968 11036 14273 16312 19313 22072 28546 32624 38626 44144 57092 63209 77252 114184 126418 154504 181471 228368 252836 309008 362942 442463 505672 725884 884926 1011344 1270297 1451768 1769852 2540594 2903536 3539704 5081188 5625601 7079408 10162376 11251202 20324752 22502404 39379207 45004808 78758414 90009616 157516828 315033656 630067312