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395114680 = 235172412411
BaseRepresentation
bin10111100011001…
…111100010111000
31000112110220110001
4113203033202320
51302122132210
6103112402344
712535263562
oct2743174270
91015426401
10395114680
11193039564
12b03a63b4
1363b20a8c
143a692332
1524a4b03a
hex178cf8b8

395114680 has 64 divisors (see below), whose sum is σ = 945600480. Its totient is φ = 148070400.

The previous prime is 395114651. The next prime is 395114683. The reversal of 395114680 is 86411593.

It is a super-2 number, since 2×3951146802 = 312231220703004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395114683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162675 + ... + 165085.

Almost surely, 2395114680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472800240).

395114680 is an abundant number, since it is smaller than the sum of its proper divisors (550485800).

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

395114680 is a wasteful number, since it uses less digits than its factorization.

395114680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 395114680 is about 19877.4917934834. The cubic root of 395114680 is about 733.7943923410.

The spelling of 395114680 in words is "three hundred ninety-five million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 964 1205 1928 2410 2411 4097 4820 4822 8194 9640 9644 12055 16388 19288 20485 24110 32776 40970 40987 48220 81940 81974 96440 163880 163948 204935 327896 409870 581051 819740 1162102 1639480 2324204 2905255 4648408 5810510 9877867 11621020 19755734 23242040 39511468 49389335 79022936 98778670 197557340 395114680