Search a number
-
+
348011496 = 233271275437
BaseRepresentation
bin10100101111100…
…011101111101000
3220020211211000200
4110233203233220
51203042331441
654311032200
711424022530
oct2457435750
9806754020
10348011496
11169497208
129866b660
135713b081
14343104c0
15208447b6
hex14be3be8

348011496 has 96 divisors (see below), whose sum is σ = 1085859840. Its totient is φ = 98630784.

The previous prime is 348011473. The next prime is 348011501. The reversal of 348011496 is 694110843.

It is a super-2 number, since 2×3480114962 = 242224002696316032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 348011496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61290 + ... + 66726.

It is an arithmetic number, because the mean of its divisors is an integer number (11311040).

Almost surely, 2348011496 is an apocalyptic number.

348011496 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 348011496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542929920).

348011496 is an abundant number, since it is smaller than the sum of its proper divisors (737848344).

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

348011496 is a wasteful number, since it uses less digits than its factorization.

348011496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 348011496 is about 18655.0662287755. The cubic root of 348011496 is about 703.3927108340.

The spelling of 348011496 in words is "three hundred forty-eight million, eleven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 2286 2667 3048 3556 4572 5334 5437 7112 8001 9144 10668 10874 16002 16311 21336 21748 32004 32622 38059 43496 48933 64008 65244 76118 97866 114177 130488 152236 195732 228354 304472 342531 391464 456708 685062 690499 913416 1370124 1380998 2071497 2740248 2761996 4142994 4833493 5523992 6214491 8285988 9666986 12428982 14500479 16571976 19333972 24857964 29000958 38667944 43501437 49715928 58001916 87002874 116003832 174005748 348011496