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3930264 = 23321321719
BaseRepresentation
bin1110111111100010011000
321101200022100
432333202120
52001232024
6220123400
745256332
oct16774230
97350270
103930264
112244958
121396560
13a77c00
14744452
155297c9
hex3bf898

3930264 has 144 divisors (see below), whose sum is σ = 12846600. Its totient is φ = 1078272.

The previous prime is 3930259. The next prime is 3930271. The reversal of 3930264 is 4620393.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206847 + ... + 206865.

Almost surely, 23930264 is an apocalyptic number.

3930264 is a gapful number since it is divisible by the number (34) 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 3930264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423300).

3930264 is an abundant number, since it is smaller than the sum of its proper divisors (8916336).

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

3930264 is a wasteful number, since it uses less digits than its factorization.

3930264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3930264 is about 1982.4893442337. The cubic root of 3930264 is about 157.8122000909.

It can be divided in two parts, 3930 and 264, that multiplied together give a triangular number (1037520 = T1440).

The spelling of 3930264 in words is "three million, nine hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 19 24 26 34 36 38 39 51 52 57 68 72 76 78 102 104 114 117 136 152 153 156 169 171 204 221 228 234 247 306 312 323 338 342 408 442 456 468 494 507 612 646 663 676 684 741 884 936 969 988 1014 1224 1292 1326 1352 1368 1482 1521 1768 1938 1976 1989 2028 2223 2584 2652 2873 2907 2964 3042 3211 3876 3978 4056 4199 4446 5304 5746 5814 5928 6084 6422 7752 7956 8398 8619 8892 9633 11492 11628 12168 12597 12844 15912 16796 17238 17784 19266 22984 23256 25194 25688 25857 28899 33592 34476 37791 38532 50388 51714 54587 57798 68952 75582 77064 100776 103428 109174 115596 151164 163761 206856 218348 231192 302328 327522 436696 491283 655044 982566 1310088 1965132 3930264