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3930366930 = 235723186249
BaseRepresentation
bin1110101001000100…
…1010001111010010
3101010220200022211120
43222101022033102
531022133220210
61450001223110
7166253365500
oct35221121722
911126608746
103930366930
111737653936
12918331a96
134a8380c09
14293dc9670
151800bd270
hexea44a3d2

3930366930 has 96 divisors (see below), whose sum is σ = 11327040000. Its totient is φ = 869379840.

The previous prime is 3930366911. The next prime is 3930366989. The reversal of 3930366930 is 396630393.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446 + ... + 88694.

It is an arithmetic number, because the mean of its divisors is an integer number (117990000).

Almost surely, 23930366930 is an apocalyptic number.

3930366930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930366930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663520000).

3930366930 is an abundant number, since it is smaller than the sum of its proper divisors (7396673070).

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

3930366930 is a wasteful number, since it uses less digits than its factorization.

3930366930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86304 (or 86297 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 42.

The square root of 3930366930 is about 62692.6385630721. The cubic root of 3930366930 is about 1578.1357773103.

The spelling of 3930366930 in words is "three billion, nine hundred thirty million, three hundred sixty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 4557 6510 7595 9114 15190 22785 45570 86249 172498 258747 431245 517494 603743 862490 1207486 1293735 1811229 2587470 2673719 3018715 3622458 4226201 5347438 6037430 8021157 8452402 9056145 12678603 13368595 16042314 18112290 18716033 21131005 25357206 26737190 37432066 40105785 42262010 56148099 63393015 80211570 93580165 112296198 126786030 131012231 187160330 262024462 280740495 393036693 561480990 655061155 786073386 1310122310 1965183465 3930366930