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2107343664 = 243217860843
BaseRepresentation
bin111110110011011…
…1000001100110000
312102212100011001100
41331212320030300
513303434444124
6545035404400
7103136061036
oct17546701460
95385304040
102107343664
119915a4538
124a98b3700
1327778c61a
1415dc3c556
15c50181c9
hex7d9b8330

2107343664 has 60 divisors (see below), whose sum is σ = 6244562376. Its totient is φ = 661126656.

The previous prime is 2107343663. The next prime is 2107343669. The reversal of 2107343664 is 4663437012.

It is a happy number.

2107343664 is a `hidden beast` number, since 210 + 7 + 3 + 436 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2107343663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427974 + ... + 432869.

Almost surely, 22107343664 is an apocalyptic number.

2107343664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2107343664 is an abundant number, since it is smaller than the sum of its proper divisors (4137218712).

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

2107343664 is a wasteful number, since it uses less digits than its factorization.

2107343664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860874 (or 860865 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2107343664 is about 45905.8129652444. The cubic root of 2107343664 is about 1282.0701494824.

The spelling of 2107343664 in words is "two billion, one hundred seven million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 860843 1721686 2582529 3443372 5165058 6886744 7747587 10330116 13773488 14634331 15495174 20660232 29268662 30990348 41320464 43902993 58537324 61980696 87805986 117074648 123961392 131708979 175611972 234149296 263417958 351223944 526835916 702447888 1053671832 2107343664