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3238467648 = 263131916793
BaseRepresentation
bin1100000100000111…
…0001100001000000
322100200202012110020
43001001301201000
523113021431043
61253203333440
7143152343433
oct30101614100
98320665406
103238467648
111412037749
12764681280
133c7c19a60
1422a15d81a
1513e49ae83
hexc1071840

3238467648 has 112 divisors (see below), whose sum is σ = 9277234176. Its totient is φ = 991088640.

The previous prime is 3238467647. The next prime is 3238467677. The reversal of 3238467648 is 8467648323.

It is a self number, because there is not a number n which added to its sum of digits gives 3238467648.

It is not an unprimeable number, because it can be changed into a prime (3238467647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473340 + ... + 480132.

It is an arithmetic number, because the mean of its divisors is an integer number (82832448).

Almost surely, 23238467648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638617088).

3238467648 is an abundant number, since it is smaller than the sum of its proper divisors (6038766528).

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

3238467648 is a wasteful number, since it uses less digits than its factorization.

3238467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7002 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3238467648 is about 56907.5359508739. The cubic root of 3238467648 is about 1479.4939297258.

The spelling of 3238467648 in words is "three billion, two hundred thirty-eight million, four hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 191 192 208 312 382 416 573 624 764 832 1146 1248 1528 2292 2483 2496 3056 4584 4966 6112 6793 7449 9168 9932 12224 13586 14898 18336 19864 20379 27172 29796 36672 39728 40758 54344 59592 79456 81516 88309 108688 119184 158912 163032 176618 217376 238368 264927 326064 353236 434752 476736 529854 652128 706472 1059708 1297463 1304256 1412944 2119416 2594926 2825888 3892389 4238832 5189852 5651776 7784778 8477664 10379704 15569556 16867019 16955328 20759408 31139112 33734038 41518816 50601057 62278224 67468076 83037632 101202114 124556448 134936152 202404228 249112896 269872304 404808456 539744608 809616912 1079489216 1619233824 3238467648