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342925344 = 25324327691
BaseRepresentation
bin10100011100001…
…010000000100000
3212220021102010200
4110130022000200
51200242102334
654010025200
711332550226
oct2434120040
9786242120
10342925344
11166632983
1296a18200
135607a008
1433788b16
152018c799
hex1470a020

342925344 has 72 divisors (see below), whose sum is σ = 997908912. Its totient is φ = 111646080.

The previous prime is 342925339. The next prime is 342925351. The reversal of 342925344 is 443529243.

342925344 is a `hidden beast` number, since 34 + 2 + 92 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342925299 and 342925308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 26229.

It is an arithmetic number, because the mean of its divisors is an integer number (13859846).

Almost surely, 2342925344 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 342925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498954456).

342925344 is an abundant number, since it is smaller than the sum of its proper divisors (654983568).

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

342925344 is a wasteful number, since it uses less digits than its factorization.

342925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27750 (or 27739 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 342925344 is about 18518.2435452178. The cubic root of 342925344 is about 699.9492099203.

The spelling of 342925344 in words is "three hundred forty-two million, nine hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 27691 55382 83073 110764 166146 221528 249219 332292 443056 498438 664584 886112 996876 1190713 1329168 1993752 2381426 2658336 3572139 3987504 4762852 7144278 7975008 9525704 10716417 14288556 19051408 21432834 28577112 38102816 42865668 57154224 85731336 114308448 171462672 342925344