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630204400 = 245271731301
BaseRepresentation
bin100101100100000…
…010011111110000
31121220211200220201
4211210002133300
52242313020100
6142311244544
721421435420
oct4544023760
91556750821
10630204400
112a3808991
12157079754
13a0742917
145d9aa480
153a4d736a
hex259027f0

630204400 has 120 divisors (see below), whose sum is σ = 1741701024. Its totient is φ = 214656000.

The previous prime is 630204391. The next prime is 630204403. The reversal of 630204400 is 4402036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630204403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483750 + ... + 485050.

Almost surely, 2630204400 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 630204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870850512).

630204400 is an abundant number, since it is smaller than the sum of its proper divisors (1111496624).

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

630204400 is a wasteful number, since it uses less digits than its factorization.

630204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 630204400 is about 25103.8722112745. The cubic root of 630204400 is about 857.3545894923.

Adding to 630204400 its reverse (4402036), we get a palindrome (634606436).

The spelling of 630204400 in words is "six hundred thirty million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 173 175 200 280 346 350 400 560 692 700 865 1211 1301 1384 1400 1730 2422 2602 2768 2800 3460 4325 4844 5204 6055 6505 6920 8650 9107 9688 10408 12110 13010 13840 17300 18214 19376 20816 24220 26020 30275 32525 34600 36428 45535 48440 52040 60550 65050 69200 72856 91070 96880 104080 121100 130100 145712 182140 225073 227675 242200 260200 364280 450146 455350 484400 520400 728560 900292 910700 1125365 1575511 1800584 1821400 2250730 3151022 3601168 3642800 4501460 5626825 6302044 7877555 9002920 11253650 12604088 15755110 18005840 22507300 25208176 31510220 39387775 45014600 63020440 78775550 90029200 126040880 157551100 315102200 630204400