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634274720 = 25519375639
BaseRepresentation
bin100101110011100…
…100001110100000
31122012111111100022
4211303210032200
52244333242340
6142534413012
721501150302
oct4563441640
91565444308
10634274720
112a6038a92
12158501168
13a15394b1
1460349972
153aa3d3b5
hex25ce43a0

634274720 has 96 divisors (see below), whose sum is σ = 1620259200. Its totient is φ = 233819136.

The previous prime is 634274717. The next prime is 634274731. The reversal of 634274720 is 27472436.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 109661 + ... + 115299.

It is an arithmetic number, because the mean of its divisors is an integer number (16877700).

Almost surely, 2634274720 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 634274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810129600).

634274720 is an abundant number, since it is smaller than the sum of its proper divisors (985984480).

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

634274720 is a wasteful number, since it uses less digits than its factorization.

634274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 634274720 is about 25184.8112956996. The cubic root of 634274720 is about 859.1964370734.

The spelling of 634274720 in words is "six hundred thirty-four million, two hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 74 76 80 95 148 152 160 185 190 296 304 370 380 592 608 703 740 760 1184 1406 1480 1520 2812 2960 3040 3515 5624 5639 5920 7030 11248 11278 14060 22496 22556 28120 28195 45112 56240 56390 90224 107141 112480 112780 180448 208643 214282 225560 417286 428564 451120 535705 834572 857128 902240 1043215 1071410 1669144 1714256 2086430 2142820 3338288 3428512 3964217 4172860 4285640 6676576 7928434 8345720 8571280 15856868 16691440 17142560 19821085 31713736 33382880 39642170 63427472 79284340 126854944 158568680 317137360 634274720