Search a number
-
+
23034440 = 23511134027
BaseRepresentation
bin101011111011…
…1101001001000
31121100021022102
41113313221020
521344100230
62141412532
7366534542
oct127675110
947307272
1023034440
1112003130
12786a148
134a06660
1430b8692
152050045
hex15f7a48

23034440 has 64 divisors (see below), whose sum is σ = 60903360. Its totient is φ = 7729920.

The previous prime is 23034437. The next prime is 23034443. The reversal of 23034440 is 4443032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23034437) and next prime (23034443).

It is a super-2 number, since 2×230344402 = 1061170852227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23034443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3707 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (951615).

Almost surely, 223034440 is an apocalyptic number.

23034440 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 23034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451680).

23034440 is an abundant number, since it is smaller than the sum of its proper divisors (37868920).

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

23034440 is a wasteful number, since it uses less digits than its factorization.

23034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23034440 is about 4799.4207983881. The cubic root of 23034440 is about 284.5285732507.

Adding to 23034440 its reverse (4443032), we get a palindrome (27477472).

The spelling of 23034440 in words is "twenty-three million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4027 5720 8054 16108 20135 32216 40270 44297 52351 80540 88594 104702 161080 177188 209404 221485 261755 354376 418808 442970 523510 575861 885940 1047020 1151722 1771880 2094040 2303444 2879305 4606888 5758610 11517220 23034440