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5734360632 = 23372111324361
BaseRepresentation
bin1010101011100101…
…10110011000111000
3112210122012200222010
411111302312120320
543220444020012
62345003125520
7262050155400
oct52562663070
915718180863
105734360632
112482996020
1211405138a0
1370503ba00
143c5821800
15238664c3c
hex155cb6638

5734360632 has 576 divisors, whose sum is σ = 20488152960. Its totient is φ = 1320883200.

The previous prime is 5734360613. The next prime is 5734360637. The reversal of 5734360632 is 2360634375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5734360637) 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 143 ways as a sum of consecutive naturals, for example, 94005882 + ... + 94005942.

It is an arithmetic number, because the mean of its divisors is an integer number (35569710).

Almost surely, 25734360632 is an apocalyptic number.

5734360632 is a gapful number since it is divisible by the number (52) 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 5734360632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244076480).

5734360632 is an abundant number, since it is smaller than the sum of its proper divisors (14753792328).

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

5734360632 is a wasteful number, since it uses less digits than its factorization.

5734360632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The square root of 5734360632 is about 75725.5612854735. The cubic root of 5734360632 is about 1789.8982112879.

The spelling of 5734360632 in words is "five billion, seven hundred thirty-four million, three hundred sixty thousand, six hundred thirty-two".