Search a number
-
+
23377104 = 2432672423
BaseRepresentation
bin101100100101…
…1010011010000
31121222200100200
41121023103100
521441031404
62153015200
7402462552
oct131132320
947880320
1023377104
1112217623
1279b4500
134ac660a
1431674d2
1520bb839
hex164b4d0

23377104 has 60 divisors (see below), whose sum is σ = 66427296. Its totient is φ = 7672896.

The previous prime is 23377073. The next prime is 23377111. The reversal of 23377104 is 40177332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8437 + ... + 10859.

Almost surely, 223377104 is an apocalyptic number.

23377104 is a gapful number since it is divisible by the number (24) 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 23377104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33213648).

23377104 is an abundant number, since it is smaller than the sum of its proper divisors (43050192).

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

23377104 is a wasteful number, since it uses less digits than its factorization.

23377104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 23377104 is about 4834.9874870572. The cubic root of 23377104 is about 285.9325317241.

The spelling of 23377104 in words is "twenty-three million, three hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 2423 3216 4824 4846 7269 9648 9692 14538 19384 21807 29076 38768 43614 58152 87228 116304 162341 174456 324682 348912 487023 649364 974046 1298728 1461069 1948092 2597456 2922138 3896184 5844276 7792368 11688552 23377104