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348919401636 = 223213275732
BaseRepresentation
bin1010001001111010011…
…01111000110010100100
31020100121210102010002100
411010331031320302210
521204041331323021
6424142533412100
734131355656501
oct5047515706244
91210553363070
10348919401636
11124a809a6853
125775849a030
1326b97a51900
1412c601444a8
159122251626
hex513d378ca4

348919401636 has 81 divisors (see below), whose sum is σ = 955181158659. Its totient is φ = 107345639232.

The previous prime is 348919401613. The next prime is 348919401671. The reversal of 348919401636 is 636104919843.

The square root of 348919401636 is 590694.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40761187236 + 308158214400 = 201894^2 + 555120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46070346 + ... + 46077918.

Almost surely, 2348919401636 is an apocalyptic number.

348919401636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

348919401636 is the 590694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348919401636

348919401636 is an abundant number, since it is smaller than the sum of its proper divisors (606261757023).

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

348919401636 is an equidigital number, since it uses as much as digits as its factorization.

348919401636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 348919401636 in words is "three hundred forty-eight billion, nine hundred nineteen million, four hundred one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 7573 15146 22719 30292 45438 68157 90876 98449 136314 196898 272628 295347 393796 590694 886041 1181388 1279837 1772082 2559674 3544164 3839511 5119348 7679022 11518533 15358044 23037066 46074132 57350329 114700658 172050987 229401316 344101974 516152961 688203948 745554277 1032305922 1491108554 2064611844 2236662831 2982217108 4473325662 6709988493 8946651324 9692205601 13419976986 19384411202 26839953972 29076616803 38768822404 58153233606 87229850409 116306467212 174459700818 348919401636