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344883438 = 232375967131
BaseRepresentation
bin10100100011101…
…000000011101110
3220000221220010200
4110203220003232
51201242232223
654120014330
711355314034
oct2443500356
9800856120
10344883438
11167750039
12976013a6
13565b4353
1433b38554
1520427a43
hex148e80ee

344883438 has 96 divisors (see below), whose sum is σ = 798145920. Its totient is φ = 107490240.

The previous prime is 344883397. The next prime is 344883443. The reversal of 344883438 is 834388443.

It is a junction number, because it is equal to n+sod(n) for n = 344883393 and 344883402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632633 + ... + 2632763.

It is an arithmetic number, because the mean of its divisors is an integer number (8314020).

Almost surely, 2344883438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344883438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399072960).

344883438 is an abundant number, since it is smaller than the sum of its proper divisors (453262482).

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

344883438 is a wasteful number, since it uses less digits than its factorization.

344883438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 344883438 is about 18571.0376123684. The cubic root of 344883438 is about 701.2789123218.

The spelling of 344883438 in words is "three hundred forty-four million, eight hundred eighty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 59 67 74 111 118 131 134 177 201 222 262 333 354 393 402 531 603 666 786 1062 1179 1206 2183 2358 2479 3953 4366 4847 4958 6549 7437 7729 7906 8777 9694 11859 13098 14541 14874 15458 17554 19647 22311 23187 23718 26331 29082 35577 39294 43623 44622 46374 52662 69561 71154 78993 87246 139122 146261 157986 285973 292522 324749 438783 517843 571946 649498 857919 877566 974247 1035686 1316349 1553529 1715838 1948494 2573757 2632698 2922741 3107058 4660587 5147514 5845482 9321174 19160191 38320382 57480573 114961146 172441719 344883438