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3232300038 = 2311295233229
BaseRepresentation
bin1100000010101000…
…1111110000000110
322100021010212002020
43000222033300012
523104432100123
61252423224010
7143046045162
oct30052176006
98307125066
103232300038
111409604950
127625a8006
133c686a696
142293d5ca2
1513db7d7e3
hexc0a8fc06

3232300038 has 64 divisors (see below), whose sum is σ = 7311686400. Its totient is φ = 943608960.

The previous prime is 3232300021. The next prime is 3232300039. The reversal of 3232300038 is 8300032323.

It is a junction number, because it is equal to n+sod(n) for n = 3232299990 and 3232300017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232300039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999408 + ... + 1002636.

It is an arithmetic number, because the mean of its divisors is an integer number (114245100).

Almost surely, 23232300038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3232300038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655843200).

3232300038 is an abundant number, since it is smaller than the sum of its proper divisors (4079386362).

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

3232300038 is a wasteful number, since it uses less digits than its factorization.

3232300038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3232300038 is about 56853.3203779691. The cubic root of 3232300038 is about 1478.5541086485.

The spelling of 3232300038 in words is "three billion, two hundred thirty-two million, three hundred thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 523 638 957 1046 1569 1914 3138 3229 5753 6458 9687 11506 15167 17259 19374 30334 34518 35519 45501 71038 91002 93641 106557 166837 187282 213114 280923 333674 500511 561846 1001022 1030051 1688767 2060102 3090153 3377534 5066301 6180306 10132602 18576437 37152874 48974243 55729311 97948486 111458622 146922729 293845458 538716673 1077433346 1616150019 3232300038