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348238656 = 26331371471
BaseRepresentation
bin10100110000011…
…011001101000000
3220021021100122000
4110300123031000
51203122114111
654315544000
711425660023
oct2460331500
9807240560
10348238656
11169631947
129875b000
13571ba59c
143436d1ba
152088bc56
hex14c1b340

348238656 has 112 divisors (see below), whose sum is σ = 1031930880. Its totient is φ = 115153920.

The previous prime is 348238643. The next prime is 348238661. The reversal of 348238656 is 656832843.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 236001 + ... + 237471.

Almost surely, 2348238656 is an apocalyptic number.

348238656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515965440).

348238656 is an abundant number, since it is smaller than the sum of its proper divisors (683692224).

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

348238656 is a wasteful number, since it uses less digits than its factorization.

348238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1613 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 348238656 is about 18661.1536620864. The cubic root of 348238656 is about 703.5457210432.

The spelling of 348238656 in words is "three hundred forty-eight million, two hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1471 1644 1728 2192 2466 2942 3288 3699 4384 4413 4932 5884 6576 7398 8768 8826 9864 11768 13152 13239 14796 17652 19728 23536 26304 26478 29592 35304 39456 39717 47072 52956 59184 70608 78912 79434 94144 105912 118368 141216 158868 201527 211824 236736 282432 317736 403054 423648 604581 635472 806108 847296 1209162 1270944 1612216 1813743 2418324 2541888 3224432 3627486 4836648 5441229 6448864 7254972 9673296 10882458 12897728 14509944 19346592 21764916 29019888 38693184 43529832 58039776 87059664 116079552 174119328 348238656