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634904340 = 223573314567
BaseRepresentation
bin100101110101111…
…101111100010100
31122020200111000120
4211311331330110
52300013414330
6143000111540
721506412030
oct4565757424
91566614016
10634904340
112a6429034
121587655b0
13a16c9c55
14604711c0
153ab14c10
hex25d7df14

634904340 has 96 divisors (see below), whose sum is σ = 2038278144. Its totient is φ = 144650880.

The previous prime is 634904327. The next prime is 634904353. The reversal of 634904340 is 43409436.

It is an interprime number because it is at equal distance from previous prime (634904327) and next prime (634904353).

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, 136737 + ... + 141303.

It is an arithmetic number, because the mean of its divisors is an integer number (21232064).

Almost surely, 2634904340 is an apocalyptic number.

634904340 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 634904340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019139072).

634904340 is an abundant number, since it is smaller than the sum of its proper divisors (1403373804).

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

634904340 is a wasteful number, since it uses less digits than its factorization.

634904340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 634904340 is about 25197.3081895666. The cubic root of 634904340 is about 859.4806400868.

The spelling of 634904340 in words is "six hundred thirty-four million, nine hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 662 993 1324 1655 1986 2317 3310 3972 4567 4634 4965 6620 6951 9134 9268 9930 11585 13701 13902 18268 19860 22835 23170 27402 27804 31969 34755 45670 46340 54804 63938 68505 69510 91340 95907 127876 137010 139020 159845 191814 274020 319690 383628 479535 639380 959070 1511677 1918140 3023354 4535031 6046708 7558385 9070062 10581739 15116770 18140124 21163478 22675155 30233540 31745217 42326956 45350310 52908695 63490434 90700620 105817390 126980868 158726085 211634780 317452170 634904340