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634273640 = 2357211133173
BaseRepresentation
bin100101110011100…
…011111101101000
31122012111102212022
4211303203331220
52244333224030
6142534404012
721501144200
oct4563437550
91565442768
10634273640
112a60381a0
12158500608
13a1538b60
1460349400
153aa3cde5
hex25ce3f68

634273640 has 384 divisors, whose sum is σ = 2040837120. Its totient is φ = 174182400.

The previous prime is 634273613. The next prime is 634273663. The reversal of 634273640 is 46372436.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 634273640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8688644 + ... + 8688716.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2634273640 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 634273640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020418560).

634273640 is an abundant number, since it is smaller than the sum of its proper divisors (1406563480).

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

634273640 is a wasteful number, since it uses less digits than its factorization.

634273640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 634273640 is about 25184.7898541957. The cubic root of 634273640 is about 859.1959494126.

The spelling of 634273640 in words is "six hundred thirty-four million, two hundred seventy-three thousand, six hundred forty".