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3995082630 = 232571129103193
BaseRepresentation
bin1110111000100000…
…0001111110000110
3101022102110020002100
43232020001332012
531140220121010
61500232252530
7201000433140
oct35610017606
911272406070
103995082630
111770135790
12935b41146
134b88bc426
1429c833c90
15185b032c0
hexee201f86

3995082630 has 384 divisors, whose sum is σ = 13597009920. Its totient is φ = 789626880.

The previous prime is 3995082617. The next prime is 3995082649. The reversal of 3995082630 is 362805993.

3995082630 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 0 + 8 + 2 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20699814 + ... + 20700006.

It is an arithmetic number, because the mean of its divisors is an integer number (35408880).

Almost surely, 23995082630 is an apocalyptic number.

3995082630 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 3995082630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798504960).

3995082630 is an abundant number, since it is smaller than the sum of its proper divisors (9601927290).

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

3995082630 is a wasteful number, since it uses less digits than its factorization.

3995082630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3995082630 is about 63206.6660250325. Note that the first 3 decimals coincide. The cubic root of 3995082630 is about 1586.7502987032.

The spelling of 3995082630 in words is "three billion, nine hundred ninety-five million, eighty-two thousand, six hundred thirty".