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344426264 = 23713736481
BaseRepresentation
bin10100100001111…
…000011100011000
3220000002200000022
4110201320130120
51201133120024
654102130012
711351401130
oct2441703430
9800080008
10344426264
11167468606
1297420908
1356484230
1433a59ac0
152038735e
hex14878718

344426264 has 64 divisors (see below), whose sum is σ = 805842240. Its totient is φ = 134369280.

The previous prime is 344426263. The next prime is 344426279. The reversal of 344426264 is 462624443.

344426264 is nontrivially palindromic in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344426263) 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, 49904 + ... + 56384.

It is an arithmetic number, because the mean of its divisors is an integer number (12591285).

Almost surely, 2344426264 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 344426264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402921120).

344426264 is an abundant number, since it is smaller than the sum of its proper divisors (461415976).

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

344426264 is a wasteful number, since it uses less digits than its factorization.

344426264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6576 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

The square root of 344426264 is about 18558.7247406712. The cubic root of 344426264 is about 700.9689058880.

The spelling of 344426264 in words is "three hundred forty-four million, four hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 3796 4088 6481 6643 7592 12962 13286 25924 26572 45367 51848 53144 84253 90734 168506 181468 337012 362936 473113 589771 674024 946226 1179542 1892452 2359084 3311791 3784904 4718168 6150469 6623582 12300938 13247164 24601876 26494328 43053283 49203752 86106566 172213132 344426264