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630694400 = 295277039
BaseRepresentation
bin100101100101111…
…010001000000000
31121221202121001212
4211211322020000
52242424210100
6142325545252
721425546120
oct4545721000
91557677055
10630694400
112a4013046
12157275228
13a088496b
145da96c80
153a582635
hex2597a200

630694400 has 120 divisors (see below), whose sum is σ = 1786076160. Its totient is φ = 216207360.

The previous prime is 630694387. The next prime is 630694423. The reversal of 630694400 is 4496036.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 86081 + ... + 93119.

It is an arithmetic number, because the mean of its divisors is an integer number (14883968).

Almost surely, 2630694400 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 630694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893038080).

630694400 is an abundant number, since it is smaller than the sum of its proper divisors (1155381760).

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

630694400 is an equidigital number, since it uses as much as digits as its factorization.

630694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 630694400 is about 25113.6297655277. The cubic root of 630694400 is about 857.5767369497.

The spelling of 630694400 in words is "six hundred thirty million, six hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 7039 8960 11200 12800 14078 17920 22400 28156 35195 44800 49273 56312 70390 89600 98546 112624 140780 175975 197092 225248 246365 281560 351950 394184 450496 492730 563120 703900 788368 900992 985460 1126240 1231825 1407800 1576736 1801984 1970920 2252480 2463650 2815600 3153472 3603968 3941840 4504960 4927300 5631200 6306944 7883680 9009920 9854600 11262400 12613888 15767360 18019840 19709200 22524800 25227776 31534720 39418400 45049600 63069440 78836800 90099200 126138880 157673600 315347200 630694400