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6397088346 = 2331133731957
BaseRepresentation
bin1011111010100101…
…11101001001011010
3121111211020202111000
411331102331021122
5101100123311341
62534435445430
7314345232225
oct57522751132
917454222430
106397088346
112792a98180
1212a6456876
137ac42ac9c
144498565bc
152769238b6
hex17d4bd25a

6397088346 has 64 divisors (see below), whose sum is σ = 15554597760. Its totient is φ = 1932698880.

The previous prime is 6397088329. The next prime is 6397088363. The reversal of 6397088346 is 6438807936.

It is an interprime number because it is at equal distance from previous prime (6397088329) and next prime (6397088363).

It is a super-3 number, since 3×63970883463 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6397088292 and 6397088301.

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, 184200 + ... + 216156.

It is an arithmetic number, because the mean of its divisors is an integer number (243040590).

Almost surely, 26397088346 is an apocalyptic number.

6397088346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6397088346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777298880).

6397088346 is an abundant number, since it is smaller than the sum of its proper divisors (9157509414).

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

6397088346 is a wasteful number, since it uses less digits than its factorization.

6397088346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32316 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6397088346 is about 79981.8000922710. The cubic root of 6397088346 is about 1856.3539344722.

The spelling of 6397088346 in words is "six billion, three hundred ninety-seven million, eighty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 337 594 674 1011 2022 3033 3707 6066 7414 9099 11121 18198 22242 31957 33363 63914 66726 95871 100089 191742 200178 287613 351527 575226 703054 862839 1054581 1725678 2109162 3163743 6327486 9491229 10769509 18982458 21539018 32308527 64617054 96925581 118464599 193851162 236929198 290776743 355393797 581553486 710787594 1066181391 2132362782 3198544173 6397088346