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342445840 = 245113112553
BaseRepresentation
bin10100011010010…
…100111100010000
3212212101001101021
4110122110330100
51200131231330
653551445224
711325512242
oct2432247420
9785331337
10342445840
111663356a0
1296826814
1355c3c999
14336a2092
15200e567a
hex14694f10

342445840 has 80 divisors (see below), whose sum is σ = 896656896. Its totient is φ = 120499200.

The previous prime is 342445823. The next prime is 342445843. The reversal of 342445840 is 48544243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 342445796 and 342445805.

It is not an unprimeable number, because it can be changed into a prime (342445843) 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, 21004 + ... + 33556.

Almost surely, 2342445840 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 342445840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448328448).

342445840 is an abundant number, since it is smaller than the sum of its proper divisors (554211056).

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

342445840 is a wasteful number, since it uses less digits than its factorization.

342445840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12608 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 342445840 is about 18505.2922160122. The cubic root of 342445840 is about 699.6228172063.

The spelling of 342445840 in words is "three hundred forty-two million, four hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 12553 13640 25106 27280 50212 62765 100424 125530 138083 200848 251060 276166 389143 502120 552332 690415 778286 1004240 1104664 1380830 1556572 1945715 2209328 2761660 3113144 3891430 4280573 5523320 6226288 7782860 8561146 11046640 15565720 17122292 21402865 31131440 34244584 42805730 68489168 85611460 171222920 342445840