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23434040 = 2357127659
BaseRepresentation
bin101100101100…
…1001100111000
31122002120110102
41121121030320
521444342130
62154134532
7403120550
oct131311470
948076412
1023434040
1112256383
127a21448
134b164c6
143180160
1520cd645
hex1659338

23434040 has 64 divisors (see below), whose sum is σ = 60825600. Its totient is φ = 7959168.

The previous prime is 23434009. The next prime is 23434043. The reversal of 23434040 is 4043432.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434043) 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, 35231 + ... + 35889.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 223434040 is an apocalyptic number.

23434040 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 23434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412800).

23434040 is an abundant number, since it is smaller than the sum of its proper divisors (37391560).

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

23434040 is a wasteful number, since it uses less digits than its factorization.

23434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

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

The square root of 23434040 is about 4840.8718223064. The cubic root of 23434040 is about 286.1644774163.

Adding to 23434040 its reverse (4043432), we get a palindrome (27477472).

The spelling of 23434040 in words is "twenty-three million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 659 889 1016 1270 1318 1778 2540 2636 3295 3556 4445 4613 5080 5272 6590 7112 8890 9226 13180 17780 18452 23065 26360 35560 36904 46130 83693 92260 167386 184520 334772 418465 585851 669544 836930 1171702 1673860 2343404 2929255 3347720 4686808 5858510 11717020 23434040