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634207424 = 2631373857
BaseRepresentation
bin100101110011010…
…011110011000000
31122012101002000212
4211303103303000
52244324114144
6142533133252
721500450144
oct4563236300
91565332025
10634207424
112a5aa2474
1215848a228
13a1514986
146032d224
153aa2849e
hex25cd3cc0

634207424 has 56 divisors (see below), whose sum is σ = 1304105088. Its totient is φ = 305694720.

The previous prime is 634207421. The next prime is 634207439. The reversal of 634207424 is 424702436.

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

It is not an unprimeable number, because it can be changed into a prime (634207421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739604 + ... + 740460.

Almost surely, 2634207424 is an apocalyptic number.

634207424 is a gapful number since it is divisible by the number (64) 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 634207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652052544).

634207424 is an abundant number, since it is smaller than the sum of its proper divisors (669897664).

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

634207424 is a wasteful number, since it uses less digits than its factorization.

634207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 634207424 is about 25183.4752168957. The cubic root of 634207424 is about 859.1660493320.

The spelling of 634207424 in words is "six hundred thirty-four million, two hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 373 496 746 857 992 1492 1714 1984 2984 3428 5968 6856 11563 11936 13712 23126 23872 26567 27424 46252 53134 54848 92504 106268 185008 212536 319661 370016 425072 639322 740032 850144 1278644 1700288 2557288 5114576 9909491 10229152 19818982 20458304 39637964 79275928 158551856 317103712 634207424