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3394928664 = 23321922910837
BaseRepresentation
bin1100101001011010…
…1000000000011000
322202121011020121200
43022112220000120
523423100204124
61320513034200
7150062263131
oct31226500030
98677136550
103394928664
111492392176
127a8b55960
1342146b73a
14242c4ac88
1514d0a4bc9
hexca5a8018

3394928664 has 96 divisors (see below), whose sum is σ = 9721686000. Its totient is φ = 1067302656.

The previous prime is 3394928653. The next prime is 3394928707. The reversal of 3394928664 is 4668294933.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3394928664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307854 + ... + 318690.

Almost surely, 23394928664 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 3394928664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860843000).

3394928664 is an abundant number, since it is smaller than the sum of its proper divisors (6326757336).

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

3394928664 is a wasteful number, since it uses less digits than its factorization.

3394928664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11090 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3394928664 is about 58266.0163731827. The cubic root of 3394928664 is about 1502.9466025654.

The spelling of 3394928664 in words is "three billion, three hundred ninety-four million, nine hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 229 342 456 458 684 687 916 1368 1374 1832 2061 2748 4122 4351 5496 8244 8702 10837 13053 16488 17404 21674 26106 32511 34808 39159 43348 52212 65022 78318 86696 97533 104424 130044 156636 195066 205903 260088 313272 390132 411806 617709 780264 823612 1235418 1647224 1853127 2470836 2481673 3706254 4941672 4963346 7412508 7445019 9926692 14825016 14890038 19853384 22335057 29780076 44670114 47151787 59560152 89340228 94303574 141455361 178680456 188607148 282910722 377214296 424366083 565821444 848732166 1131642888 1697464332 3394928664