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344683840 = 2651763361
BaseRepresentation
bin10100100010110…
…111010101000000
3220000120202100011
4110202313111000
51201214340330
654111434304
711353523104
oct2442672500
9800522304
10344683840
11167624086
1297525994
1356544547
1433ac5904
15203d882a
hex148b7540

344683840 has 56 divisors (see below), whose sum is σ = 869073192. Its totient is φ = 129761280.

The previous prime is 344683817. The next prime is 344683847. The reversal of 344683840 is 48386443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 278489344 = 8136^2 + 16688^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 344683793 and 344683802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344683847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26241 + ... + 37120.

Almost surely, 2344683840 is an apocalyptic number.

It is an amenable number.

344683840 is an abundant number, since it is smaller than the sum of its proper divisors (524389352).

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

344683840 is a wasteful number, since it uses less digits than its factorization.

344683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63395 (or 63385 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 344683840 is about 18565.6629291819. The cubic root of 344683840 is about 701.1436000545.

The spelling of 344683840 in words is "three hundred forty-four million, six hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 63361 126722 253444 316805 506888 633610 1013776 1077137 1267220 2027552 2154274 2534440 4055104 4308548 5068880 5385685 8617096 10137760 10771370 17234192 20275520 21542740 34468384 43085480 68936768 86170960 172341920 344683840