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395272644 = 22313171131319
BaseRepresentation
bin10111100011110…
…110000111000100
31000112202221010120
4113203312013010
51302142211034
6103120021540
712536522244
oct2743660704
91015687116
10395272644
11193137208
12b04618b0
1363b77950
143a6d3b24
1524a7cc49
hex178f61c4

395272644 has 96 divisors (see below), whose sum is σ = 1061786880. Its totient is φ = 113369088.

The previous prime is 395272607. The next prime is 395272673. The reversal of 395272644 is 446272593.

It is a junction number, because it is equal to n+sod(n) for n = 395272596 and 395272605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299017 + ... + 300335.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2395272644 is an apocalyptic number.

395272644 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 395272644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

395272644 is an abundant number, since it is smaller than the sum of its proper divisors (666514236).

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

395272644 is a wasteful number, since it uses less digits than its factorization.

395272644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 395272644 is about 19881.4648353686. The cubic root of 395272644 is about 733.8921678811.

The spelling of 395272644 in words is "three hundred ninety-five million, two hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 113 156 204 221 226 339 442 452 663 678 884 1319 1326 1356 1469 1921 2638 2652 2938 3842 3957 4407 5276 5763 5876 7684 7914 8814 11526 15828 17147 17628 22423 23052 24973 34294 44846 49946 51441 67269 68588 74919 89692 99892 102882 134538 149047 149838 205764 269076 291499 298094 299676 447141 582998 596188 874497 894282 1165996 1748994 1788564 1937611 2533799 3497988 3875222 5067598 5812833 7601397 7750444 10135196 11625666 15202794 23251332 30405588 32939387 65878774 98818161 131757548 197636322 395272644