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344842000 = 2453172421
BaseRepresentation
bin10100100011011…
…101111100010000
3220000212210021221
4110203131330100
51201234421000
654115054424
711355052156
oct2443357420
9800783257
10344842000
11167721998
12975a1414
135659b529
1433b273d6
152041a61a
hex148ddf10

344842000 has 40 divisors (see below), whose sum is σ = 833832792. Its totient is φ = 137936000.

The previous prime is 344841997. The next prime is 344842019. The reversal of 344842000 is 248443.

It can be written as a sum of positive squares in 4 ways, for example, as 7311616 + 337530384 = 2704^2 + 18372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84211 + ... + 88210.

Almost surely, 2344842000 is an apocalyptic number.

It is an amenable number.

344842000 is an abundant number, since it is smaller than the sum of its proper divisors (488990792).

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

344842000 is a wasteful number, since it uses less digits than its factorization.

344842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172444 (or 172428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 344842000 is about 18569.9219169064. The cubic root of 344842000 is about 701.2508248036.

The spelling of 344842000 in words is "three hundred forty-four million, eight hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 172421 344842 689684 862105 1379368 1724210 2758736 3448420 4310525 6896840 8621050 13793680 17242100 21552625 34484200 43105250 68968400 86210500 172421000 344842000