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634309368 = 2337114767109
BaseRepresentation
bin100101110011101…
…100101011111000
31122012120020212120
4211303230223320
52244340344433
6142535241240
721501353310
oct4563545370
91565506776
10634309368
112a6062020
12158519220
13a154c1b4
1460358440
153aa487b3
hex25cecaf8

634309368 has 256 divisors, whose sum is σ = 2068070400. Its totient is φ = 157386240.

The previous prime is 634309363. The next prime is 634309369. The reversal of 634309368 is 863903436.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634309363) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5819298 + ... + 5819406.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2634309368 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 634309368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034035200).

634309368 is an abundant number, since it is smaller than the sum of its proper divisors (1433761032).

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

634309368 is a wasteful number, since it uses less digits than its factorization.

634309368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 634309368 is about 25185.4991612237. The cubic root of 634309368 is about 859.2120816593.

The spelling of 634309368 in words is "six hundred thirty-four million, three hundred nine thousand, three hundred sixty-eight".