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634163328 = 2732550489
BaseRepresentation
bin100101110011001…
…001000010000000
31122012021211112200
4211303021002000
52244321211303
6142532153200
721500204451
oct4563110200
91565254480
10634163328
112a5a72327
12158468800
13a14ca896
146031b128
153aa1a3a3
hex25cc9080

634163328 has 48 divisors (see below), whose sum is σ = 1824874350. Its totient is φ = 211387392.

The previous prime is 634163287. The next prime is 634163351. The reversal of 634163328 is 823361436.

634163328 is a `hidden beast` number, since 634 + 16 + 3 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 556582464 + 77580864 = 23592^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 634163292 and 634163301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274093 + ... + 276396.

Almost surely, 2634163328 is an apocalyptic number.

It is an amenable number.

634163328 is an abundant number, since it is smaller than the sum of its proper divisors (1190711022).

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

634163328 is a wasteful number, since it uses less digits than its factorization.

634163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550509 (or 550494 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 634163328 is about 25182.5997069405. The cubic root of 634163328 is about 859.1461364650.

The spelling of 634163328 in words is "six hundred thirty-four million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 550489 1100978 1651467 2201956 3302934 4403912 4954401 6605868 8807824 9908802 13211736 17615648 19817604 26423472 35231296 39635208 52846944 70462592 79270416 105693888 158540832 211387776 317081664 634163328