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634404416 = 26109211431
BaseRepresentation
bin100101110100000…
…011111001000000
31122012202002020212
4211310003321000
52244401420131
6142541253252
721502230362
oct4564037100
91565662225
10634404416
112a6117478
12158564228
13a1583539
1460380d32
153aa66a2b
hex25d03e40

634404416 has 56 divisors (see below), whose sum is σ = 1279428480. Its totient is φ = 312076800.

The previous prime is 634404409. The next prime is 634404431. The reversal of 634404416 is 614404436.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1471721 + ... + 1472151.

Almost surely, 2634404416 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 634404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639714240).

634404416 is an abundant number, since it is smaller than the sum of its proper divisors (645024064).

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

634404416 is a wasteful number, since it uses less digits than its factorization.

634404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 634404416 is about 25187.3860493700. The cubic root of 634404416 is about 859.2549956880.

The spelling of 634404416 in words is "six hundred thirty-four million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 211 218 422 431 436 844 862 872 1688 1724 1744 3376 3448 3488 6752 6896 6976 13504 13792 22999 27584 45998 46979 90941 91996 93958 181882 183992 187916 363764 367984 375832 727528 735968 751664 1455056 1471936 1503328 2910112 3006656 5820224 9912569 19825138 39650276 79300552 158601104 317202208 634404416