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3642330328 = 237213739791
BaseRepresentation
bin1101100100011001…
…1000110011011000
3100101211200112220021
43121012120303120
524424414032303
61401231440224
7156155203600
oct33106306330
910354615807
103642330328
1115aa00075a
12857986074
134607b1560
14267a4bc00
15164b73ebd
hexd9198cd8

3642330328 has 96 divisors (see below), whose sum is σ = 8673557760. Its totient is φ = 1421038080.

The previous prime is 3642330311. The next prime is 3642330379. The reversal of 3642330328 is 8230332463.

It is a junction number, because it is equal to n+sod(n) for n = 3642330293 and 3642330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367113 + ... + 376903.

It is an arithmetic number, because the mean of its divisors is an integer number (90349560).

Almost surely, 23642330328 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 3642330328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336778880).

3642330328 is an abundant number, since it is smaller than the sum of its proper divisors (5031227432).

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

3642330328 is a wasteful number, since it uses less digits than its factorization.

3642330328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 3642330328 is about 60351.7218312784. The cubic root of 3642330328 is about 1538.6025339121.

The spelling of 3642330328 in words is "three billion, six hundred forty-two million, three hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 182 196 292 364 392 511 584 637 728 949 1022 1274 1898 2044 2548 3577 3796 4088 5096 6643 7154 7592 9791 13286 14308 19582 26572 28616 39164 46501 53144 68537 78328 93002 127283 137074 186004 254566 274148 372008 479759 509132 548296 714743 890981 959518 1018264 1429486 1781962 1919036 2858972 3563924 3838072 5003201 5717944 6236867 7127848 9291659 10006402 12473734 18583318 20012804 24947468 35022407 37166636 40025608 49894936 65041613 70044814 74333272 130083226 140089628 260166452 280179256 455291291 520332904 910582582 1821165164 3642330328