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23330032 = 2411711867
BaseRepresentation
bin101100011111…
…1110011110000
31121220021210021
41120333303300
521433030112
62152013224
7402205405
oct130776360
947807707
1023330032
1112195220
127991214
134aab06b
1431542ac
1520ac907
hex163fcf0

23330032 has 40 divisors (see below), whose sum is σ = 50032512. Its totient is φ = 10449600.

The previous prime is 23330029. The next prime is 23330039. The reversal of 23330032 is 23003332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23329988 and 23330015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11563 + ... + 13429.

Almost surely, 223330032 is an apocalyptic number.

23330032 is a gapful number since it is divisible by the number (22) 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 23330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016256).

23330032 is an abundant number, since it is smaller than the sum of its proper divisors (26702480).

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

23330032 is a wasteful number, since it uses less digits than its factorization.

23330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 23330032 is about 4830.1171828435. The cubic root of 23330032 is about 285.7404854070.

Adding to 23330032 its reverse (23003332), we get a palindrome (46333364).

It can be divided in two parts, 233300 and 32, that added together give a palindrome (233332).

The spelling of 23330032 in words is "twenty-three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 1867 3124 3734 6248 7468 12496 14936 20537 29872 41074 82148 132557 164296 265114 328592 530228 1060456 1458127 2120912 2916254 5832508 11665016 23330032