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23345440 = 255532753
BaseRepresentation
bin101100100001…
…1100100100000
31121221001220221
41121003210200
521434023230
62152212424
7402301336
oct131034440
947831827
1023345440
11121a5858
12799a114
134ab5091
143159b56
1520b227a
hex1643920

23345440 has 48 divisors (see below), whose sum is σ = 56214648. Its totient is φ = 9158656.

The previous prime is 23345407. The next prime is 23345447. The reversal of 23345440 is 4454332.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 190096 = 4812^2 + 436^2 .

It is not an unprimeable number, because it can be changed into a prime (23345447) 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, 7104 + ... + 9856.

Almost surely, 223345440 is an apocalyptic number.

23345440 is a gapful number since it is divisible by the number (20) 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 23345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28107324).

23345440 is an abundant number, since it is smaller than the sum of its proper divisors (32869208).

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

23345440 is a wasteful number, since it uses less digits than its factorization.

23345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 23345440 is about 4831.7119119418. The cubic root of 23345440 is about 285.8033760268.

Adding to 23345440 its reverse (4454332), we get a palindrome (27799772).

The spelling of 23345440 in words is "twenty-three million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 2753 4240 5506 8480 11012 13765 22024 27530 44048 55060 88096 110120 145909 220240 291818 440480 583636 729545 1167272 1459090 2334544 2918180 4669088 5836360 11672720 23345440