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3396335130 = 233547926261
BaseRepresentation
bin1100101001101111…
…1111011000011010
322202200210200221000
43022123333120122
523423430211010
61321003125430
7150110241456
oct31233773032
98680720830
103396335130
111493162941
127a9513876
13421841976
142430d5666
1514d2817c0
hexca6ff61a

3396335130 has 64 divisors (see below), whose sum is σ = 9076147200. Its totient is φ = 903764160.

The previous prime is 3396335099. The next prime is 3396335161. The reversal of 3396335130 is 315336933.

It is a happy number.

3396335130 is a `hidden beast` number, since 3 + 3 + 9 + 633 + 5 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3396335099) and next prime (3396335161).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116200 + ... + 142460.

It is an arithmetic number, because the mean of its divisors is an integer number (141814800).

Almost surely, 23396335130 is an apocalyptic number.

3396335130 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 3396335130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538073600).

3396335130 is an abundant number, since it is smaller than the sum of its proper divisors (5679812070).

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

3396335130 is a wasteful number, since it uses less digits than its factorization.

3396335130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26756 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 36.

The square root of 3396335130 is about 58278.0844743545. The cubic root of 3396335130 is about 1503.1541230233.

The spelling of 3396335130 in words is "three billion, three hundred ninety-six million, three hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 479 958 1437 2395 2874 4311 4790 7185 8622 12933 14370 21555 25866 26261 43110 52522 64665 78783 129330 131305 157566 236349 262610 393915 472698 709047 787830 1181745 1418094 2363490 3545235 7090470 12579019 25158038 37737057 62895095 75474114 113211171 125790190 188685285 226422342 339633513 377370570 566055855 679267026 1132111710 1698167565 3396335130