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348163264 = 2617973299
BaseRepresentation
bin10100110000001…
…000110011000000
3220021010112012201
4110300020303000
51203112211024
654314202544
711425224151
oct2460106300
9807115181
10348163264
11169590239
1298723454
1357192187
143434d928
1520874744
hex14c08cc0

348163264 has 56 divisors (see below), whose sum is σ = 739292400. Its totient is φ = 162103296.

The previous prime is 348163237. The next prime is 348163313. The reversal of 348163264 is 462361843.

348163264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103887 + ... + 107185.

It is an arithmetic number, because the mean of its divisors is an integer number (13201650).

Almost surely, 2348163264 is an apocalyptic number.

348163264 is a gapful number since it is divisible by the number (34) 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 348163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369646200).

348163264 is an abundant number, since it is smaller than the sum of its proper divisors (391129136).

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

348163264 is a wasteful number, since it uses less digits than its factorization.

348163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 348163264 is about 18659.1335275784. The cubic root of 348163264 is about 703.4949459533.

The spelling of 348163264 in words is "three hundred forty-eight million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1552 1649 3104 3298 3299 6208 6596 6598 13192 13196 26384 26392 52768 52784 56083 105536 105568 112166 211136 224332 320003 448664 640006 897328 1280012 1794656 2560024 3589312 5120048 5440051 10240096 10880102 20480192 21760204 43520408 87040816 174081632 348163264