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395842344 = 233291972887
BaseRepresentation
bin10111100110000…
…001001100101000
31000120211212121120
4113212001030220
51302313423334
6103140135240
712544414212
oct2746011450
91016755546
10395842344
11193496237
12b0697520
1364017051
143a8015b2
1524b41949
hex17981328

395842344 has 64 divisors (see below), whose sum is σ = 1029283200. Its totient is φ = 126706944.

The previous prime is 395842339. The next prime is 395842357. The reversal of 395842344 is 443248593.

It is a super-2 number, since 2×3958423442 = 313382322606828672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395842296 and 395842305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135669 + ... + 138555.

It is an arithmetic number, because the mean of its divisors is an integer number (16082550).

Almost surely, 2395842344 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 395842344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514641600).

395842344 is an abundant number, since it is smaller than the sum of its proper divisors (633440856).

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

395842344 is a wasteful number, since it uses less digits than its factorization.

395842344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 395842344 is about 19895.7870917438. The cubic root of 395842344 is about 734.2445808877.

The spelling of 395842344 in words is "three hundred ninety-five million, eight hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 197 232 348 394 591 696 788 1182 1576 2364 2887 4728 5713 5774 8661 11426 11548 17139 17322 22852 23096 34278 34644 45704 68556 69288 83723 137112 167446 251169 334892 502338 568739 669784 1004676 1137478 1706217 2009352 2274956 3412434 4549912 6824868 13649736 16493431 32986862 49480293 65973724 98960586 131947448 197921172 395842344