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634890840 = 2335171392239
BaseRepresentation
bin100101110101111…
…010101001011000
31122020122210111120
4211311322221120
52300013001330
6142555525240
721506324463
oct4565725130
91566583446
10634890840
112a6419981
12158759820
13a16c3a6c
146046a2da
153ab10c10
hex25d7aa58

634890840 has 128 divisors (see below), whose sum is σ = 2032128000. Its totient is φ = 158128128.

The previous prime is 634890811. The next prime is 634890853. The reversal of 634890840 is 48098436.

It is a junction number, because it is equal to n+sod(n) for n = 634890792 and 634890801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282441 + ... + 284679.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2634890840 is an apocalyptic number.

634890840 is a gapful number since it is divisible by the number (60) 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 634890840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

634890840 is an abundant number, since it is smaller than the sum of its proper divisors (1397237160).

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

634890840 is a wasteful number, since it uses less digits than its factorization.

634890840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 634890840 is about 25197.0403023847. The cubic root of 634890840 is about 859.4745483182.

The spelling of 634890840 in words is "six hundred thirty-four million, eight hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 139 170 204 255 278 340 408 417 510 556 680 695 834 1020 1112 1390 1668 2040 2085 2239 2363 2780 3336 4170 4478 4726 5560 6717 7089 8340 8956 9452 11195 11815 13434 14178 16680 17912 18904 22390 23630 26868 28356 33585 35445 38063 44780 47260 53736 56712 67170 70890 76126 89560 94520 114189 134340 141780 152252 190315 228378 268680 283560 304504 311221 380630 456756 570945 622442 761260 913512 933663 1141890 1244884 1522520 1556105 1867326 2283780 2489768 3112210 3734652 4567560 4668315 5290757 6224420 7469304 9336630 10581514 12448840 15872271 18673260 21163028 26453785 31744542 37346520 42326056 52907570 63489084 79361355 105815140 126978168 158722710 211630280 317445420 634890840