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344940596 = 2272111331397
BaseRepresentation
bin10100100011110…
…110000000110100
3220001001210112122
4110203312000310
51201301044341
654121135112
711355642500
oct2443660064
9801053478
10344940596
11167789a80
129762a498
1356604380
1433b51300
152043994b
hex148f6034

344940596 has 144 divisors (see below), whose sum is σ = 853719552. Its totient is φ = 119750400.

The previous prime is 344940581. The next prime is 344940619. The reversal of 344940596 is 695049443.

It is a happy number.

344940596 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868670 + ... + 869066.

It is an arithmetic number, because the mean of its divisors is an integer number (5928608).

Almost surely, 2344940596 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 344940596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426859776).

344940596 is an abundant number, since it is smaller than the sum of its proper divisors (508778956).

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

344940596 is a wasteful number, since it uses less digits than its factorization.

344940596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 344940596 is about 18572.5764502397. The cubic root of 344940596 is about 701.3176514836.

The spelling of 344940596 in words is "three hundred forty-four million, nine hundred forty thousand, five hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 49 52 62 77 91 98 124 143 154 182 196 217 286 308 341 364 397 403 434 539 572 637 682 794 806 868 1001 1078 1274 1364 1519 1588 1612 2002 2156 2387 2548 2779 2821 3038 4004 4367 4433 4774 5161 5558 5642 6076 7007 8734 8866 9548 10322 11116 11284 12307 14014 16709 17468 17732 19453 19747 20644 24614 28028 30569 31031 33418 36127 38906 39494 49228 56771 61138 62062 66836 72254 77812 78988 86149 113542 122276 124124 135377 144508 159991 172298 213983 217217 227084 252889 270754 319982 344596 397397 427966 434434 505778 541508 603043 639964 794794 855932 868868 947639 1011556 1119937 1206086 1589588 1759901 1895278 2239874 2412172 2781779 3519802 3790556 4479748 5563558 6633473 7039604 7839559 11127116 12319307 13266946 15679118 24638614 26533892 31358236 49277228 86235149 172470298 344940596