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344356368 = 24323379823
BaseRepresentation
bin10100100001100…
…111011000010000
3212222222010010120
4110201213120100
51201123400433
654100430240
711350660266
oct2441473020
9788863116
10344356368
11167420044
12973a8380
135645b485
1433a3c436
15203717b3
hex14867610

344356368 has 80 divisors (see below), whose sum is σ = 931845120. Its totient is φ = 109372032.

The previous prime is 344356343. The next prime is 344356379. The reversal of 344356368 is 863653443.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418005 + ... + 418827.

It is an arithmetic number, because the mean of its divisors is an integer number (11648064).

Almost surely, 2344356368 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 344356368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465922560).

344356368 is an abundant number, since it is smaller than the sum of its proper divisors (587488752).

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

344356368 is a wasteful number, since it uses less digits than its factorization.

344356368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 344356368 is about 18556.8415415986. The cubic root of 344356368 is about 700.9214857361.

The spelling of 344356368 in words is "three hundred forty-four million, three hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 379 552 758 823 1104 1137 1516 1646 2274 2469 3032 3292 4548 4938 6064 6584 8717 9096 9876 13168 17434 18192 18929 19752 26151 34868 37858 39504 52302 56787 69736 75716 104604 113574 139472 151432 209208 227148 302864 311917 418416 454296 623834 908592 935751 1247668 1871502 2495336 3743004 4990672 7174091 7486008 14348182 14972016 21522273 28696364 43044546 57392728 86089092 114785456 172178184 344356368