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344642742 = 2338397607
BaseRepresentation
bin10100100010101…
…101010010110110
3220000111122222000
4110202231102312
51201212031432
654110520130
711353262223
oct2442552266
9800448860
10344642742
111675a6214
1297506046
135652b922
1433ab494a
15203cb57c
hex148ad4b6

344642742 has 32 divisors (see below), whose sum is σ = 766886400. Its totient is φ = 114728904.

The previous prime is 344642723. The next prime is 344642747. The reversal of 344642742 is 247246443.

344642742 is a `hidden beast` number, since 3 + 4 + 4 + 642 + 7 + 4 + 2 = 666.

It is a super-2 number, since 2×3446427422 = 237557239226557128, which contains 22 as substring.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 344642697 and 344642706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344642747) 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, 41503 + ... + 49109.

It is an arithmetic number, because the mean of its divisors is an integer number (23965200).

Almost surely, 2344642742 is an apocalyptic number.

344642742 is an abundant number, since it is smaller than the sum of its proper divisors (422243658).

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

344642742 is a wasteful number, since it uses less digits than its factorization.

344642742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8451 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 344642742 is about 18564.5560679484. The cubic root of 344642742 is about 701.1157322506.

The spelling of 344642742 in words is "three hundred forty-four million, six hundred forty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 839 1678 2517 5034 7551 7607 15102 15214 22653 22821 45306 45642 68463 136926 205389 410778 6382273 12764546 19146819 38293638 57440457 114880914 172321371 344642742