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344685978 = 232713216187
BaseRepresentation
bin10100100010110…
…111110110011010
3220000120212021100
4110202313312122
51201214422403
654111452230
711353532250
oct2442676632
9800525240
10344685978
1116762574a
1297527076
1356545500
1433ac65d0
15203d92a3
hex148b7d9a

344685978 has 72 divisors (see below), whose sum is σ = 924270048. Its totient is φ = 90900576.

The previous prime is 344685947. The next prime is 344685997. The reversal of 344685978 is 879586443.

344685978 is a `hidden beast` number, since 3 + 4 + 46 + 8 + 597 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13201 + ... + 29387.

It is an arithmetic number, because the mean of its divisors is an integer number (12837084).

Almost surely, 2344685978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344685978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462135024).

344685978 is an abundant number, since it is smaller than the sum of its proper divisors (579584070).

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

344685978 is a wasteful number, since it uses less digits than its factorization.

344685978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16228 (or 16212 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 344685978 is about 18565.7205085071. The cubic root of 344685978 is about 701.1450497327.

The spelling of 344685978 in words is "three hundred forty-four million, six hundred eighty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 16187 21294 32374 48561 97122 113309 145683 210431 226618 291366 339927 420862 631293 679854 1019781 1262586 1473017 1893879 2039562 2735603 2946034 3787758 4419051 5471206 8206809 8838102 13257153 16413618 19149221 24620427 26514306 38298442 49240854 57447663 114895326 172342989 344685978