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34235011656 = 2332475486273
BaseRepresentation
bin11111111000100100…
…001101001001001000
310021100220012210012200
4133320210031021020
51030103130333111
623421035040200
72321242540416
oct377044151110
9107326183180
1034235011656
1113578853a6a
1267752a0060
1332c78abc61
14192aa962b6
15d55822256
hex7f890d248

34235011656 has 24 divisors (see below), whose sum is σ = 92719823430. Its totient is φ = 11411670528.

The previous prime is 34235011633. The next prime is 34235011663. The reversal of 34235011656 is 65611053243.

It can be written as a sum of positive squares in only one way, i.e., 25546907556 + 8688104100 = 159834^2 + 93210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34235011656.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237743065 + ... + 237743208.

Almost surely, 234235011656 is an apocalyptic number.

34235011656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34235011656 is an abundant number, since it is smaller than the sum of its proper divisors (58484811774).

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

34235011656 is a wasteful number, since it uses less digits than its factorization.

34235011656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475486285 (or 475486278 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 34235011656 its reverse (65611053243), we get a palindrome (99846064899).

The spelling of 34235011656 in words is "thirty-four billion, two hundred thirty-five million, eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 475486273 950972546 1426458819 1901945092 2852917638 3803890184 4279376457 5705835276 8558752914 11411670552 17117505828 34235011656