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634112920 = 235721719031
BaseRepresentation
bin100101110010111…
…100101110011000
31122012012021101201
4211302330232120
52244313103140
6142531123544
721466604500
oct4562745630
91565167351
10634112920
112a5a38471
121584435b4
13a14b095c
1460306a00
153aa0a49a
hex25cbcb98

634112920 has 96 divisors (see below), whose sum is σ = 1757414880. Its totient is φ = 204610560.

The previous prime is 634112917. The next prime is 634112951. The reversal of 634112920 is 29211436.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23805 + ... + 42835.

It is an arithmetic number, because the mean of its divisors is an integer number (18306405).

Almost surely, 2634112920 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 634112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878707440).

634112920 is an abundant number, since it is smaller than the sum of its proper divisors (1123301960).

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

634112920 is a wasteful number, since it uses less digits than its factorization.

634112920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19073 (or 19062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 634112920 is about 25181.5988372462. The cubic root of 634112920 is about 859.1233720950.

The spelling of 634112920 in words is "six hundred thirty-four million, one hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 16660 19031 33320 38062 76124 95155 133217 152248 190310 266434 323527 380620 532868 647054 666085 761240 932519 1065736 1294108 1332170 1617635 1865038 2264689 2588216 2664340 3235270 3730076 4529378 4662595 5328680 6470540 7460152 9058756 9325190 11323445 12941080 15852823 18117512 18650380 22646890 31705646 37300760 45293780 63411292 79264115 90587560 126822584 158528230 317056460 634112920