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634388480 = 2205112
BaseRepresentation
bin100101110100000…
…000000000000000
31122012201021101122
4211310000000000
52244400412410
6142541051412
721502133045
oct4564000000
91565637348
10634388480
112a6106500
12158556b68
13a15791cb
14603791cc
153aa61e55
hex25d00000

634388480 has 126 divisors (see below), whose sum is σ = 1673526498. Its totient is φ = 230686720.

The previous prime is 634388467. The next prime is 634388497. The reversal of 634388480 is 84883436.

It can be written as a sum of positive squares in only one way, i.e., 507510784 + 126877696 = 22528^2 + 11264^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57671675 + ... + 57671685.

Almost surely, 2634388480 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 634388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836763249).

634388480 is an abundant number, since it is smaller than the sum of its proper divisors (1039138018).

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

634388480 is an frugal number, since it uses more digits than its factorization.

634388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 634388480 is about 25187.0696985576. The cubic root of 634388480 is about 859.2478009071.

The spelling of 634388480 in words is "six hundred thirty-four million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1936 2048 2420 2560 2816 3520 3872 4096 4840 5120 5632 7040 7744 8192 9680 10240 11264 14080 15488 16384 19360 20480 22528 28160 30976 32768 38720 40960 45056 56320 61952 65536 77440 81920 90112 112640 123904 131072 154880 163840 180224 225280 247808 262144 309760 327680 360448 450560 495616 524288 619520 655360 720896 901120 991232 1048576 1239040 1310720 1441792 1802240 1982464 2478080 2621440 2883584 3604480 3964928 4956160 5242880 5767168 7208960 7929856 9912320 11534336 14417920 15859712 19824640 28835840 31719424 39649280 57671680 63438848 79298560 126877696 158597120 317194240 634388480