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348638287936 = 2623232092
BaseRepresentation
bin1010001001011000111…
…01100001100001000000
31020022220012110001120211
411010230131201201000
521203002400203221
6424055012243504
734121403360151
oct5045435414100
91208805401524
10348638287936
11124947251984
125769a310594
1326b51737343
1412c34a89928
1591077236e1
hex512c761840

348638287936 has 63 divisors (see below), whose sum is σ = 723441875821. Its totient is φ = 166688090624.

The previous prime is 348638287919. The next prime is 348638287939. The reversal of 348638287936 is 639782836843.

The square root of 348638287936 is 590456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196475881536 + 152162406400 = 443256^2 + 390080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348638287939) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108642300 + ... + 108645508.

Almost surely, 2348638287936 is an apocalyptic number.

348638287936 is the 590456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348638287936

348638287936 is an abundant number, since it is smaller than the sum of its proper divisors (374803587885).

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

348638287936 is an frugal number, since it uses more digits than its factorization.

348638287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 3234 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 67.

The spelling of 348638287936 in words is "three hundred forty-eight billion, six hundred thirty-eight million, two hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 3209 4232 6418 8464 12836 16928 25672 33856 51344 73807 102688 147614 205376 295228 590456 1180912 1697561 2361824 3395122 4723648 6790244 10297681 13580488 20595362 27160976 41190724 54321952 82381448 108643904 164762896 236846663 329525792 473693326 659051584 947386652 1894773304 3789546608 5447473249 7579093216 10894946498 15158186432 21789892996 43579785992 87159571984 174319143968 348638287936