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13434888 = 2332997199
BaseRepresentation
bin110011010000…
…000000001000
3221021120012110
4303100000020
511414404023
61155542320
7222123525
oct63200010
927246173
1013434888
117646915
1245ba9a0
132a2514c
141ada14c
1512a5a93
hexcd0008

13434888 has 64 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 4257792.

The previous prime is 13434887. The next prime is 13434931. The reversal of 13434888 is 88843431.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13434887) 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, 67413 + ... + 67611.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 213434888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

13434888 is an abundant number, since it is smaller than the sum of its proper divisors (21845112).

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

13434888 is a wasteful number, since it uses less digits than its factorization.

13434888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 13434888 is about 3665.3632834959. The cubic root of 13434888 is about 237.7267301122.

The spelling of 13434888 in words is "thirteen million, four hundred thirty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 194 199 232 291 348 388 398 582 597 696 776 796 1164 1194 1592 2328 2388 2813 4776 5626 5771 8439 11252 11542 16878 17313 19303 22504 23084 33756 34626 38606 46168 57909 67512 69252 77212 115818 138504 154424 231636 463272 559787 1119574 1679361 2239148 3358722 4478296 6717444 13434888