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34681933 = 1113283857
BaseRepresentation
bin1000010001001…
…1010001001101
32102021000200001
42010103101031
532334310213
63235204301
7600535336
oct204232115
972230601
1034681933
1118639060
12b746691
137254070
14486b28d
1530a11dd
hex211344d

34681933 has 16 divisors (see below), whose sum is σ = 40936896. Its totient is φ = 28967040.

The previous prime is 34681909. The next prime is 34681937. The reversal of 34681933 is 33918643.

It is a cyclic number.

It is not a de Polignac number, because 34681933 - 29 = 34681421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34681892 and 34681901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34681937) 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, 40041 + ... + 40897.

It is an arithmetic number, because the mean of its divisors is an integer number (2558556).

Almost surely, 234681933 is an apocalyptic number.

It is an amenable number.

34681933 is a deficient number, since it is larger than the sum of its proper divisors (6254963).

34681933 is a wasteful number, since it uses less digits than its factorization.

34681933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164.

The product of its digits is 46656, while the sum is 37.

The square root of 34681933 is about 5889.1368637518. The cubic root of 34681933 is about 326.1127396840.

The spelling of 34681933 in words is "thirty-four million, six hundred eighty-one thousand, nine hundred thirty-three".

Divisors: 1 11 13 143 283 857 3113 3679 9427 11141 40469 122551 242531 2667841 3152903 34681933