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3630444342 = 2371919123819
BaseRepresentation
bin1101100001100100…
…0010111100110110
3100101000022200101120
43120121002330312
524413343204332
61400125004410
7155652160560
oct33031027466
910330280346
103630444342
1115a3322628
128539b3706
1345b1ac425
14266236330
15163ac732c
hexd8642f36

3630444342 has 64 divisors (see below), whose sum is σ = 8781004800. Its totient is φ = 977490720.

The previous prime is 3630444287. The next prime is 3630444347. The reversal of 3630444342 is 2434440363.

3630444342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36304443422 = 26360252240719625928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630444347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140509 + ... + 164327.

It is an arithmetic number, because the mean of its divisors is an integer number (137203200).

Almost surely, 23630444342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630444342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390502400).

3630444342 is an abundant number, since it is smaller than the sum of its proper divisors (5150560458).

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

3630444342 is a wasteful number, since it uses less digits than its factorization.

3630444342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24041.

The product of its (nonzero) digits is 82944, while the sum is 33.

The square root of 3630444342 is about 60253.1687299515. The cubic root of 3630444342 is about 1536.9270738368.

The spelling of 3630444342 in words is "three billion, six hundred thirty million, four hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 191 266 382 399 573 798 1146 1337 2674 3629 4011 7258 8022 10887 21774 23819 25403 47638 50806 71457 76209 142914 152418 166733 333466 452561 500199 905122 1000398 1357683 2715366 3167927 4549429 6335854 9098858 9503781 13648287 19007562 27296574 31846003 63692006 86439151 95538009 172878302 191076018 259317453 518634906 605074057 1210148114 1815222171 3630444342