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34506901 = 1121321937
BaseRepresentation
bin1000001110100…
…0100010010101
32101221010120101
42003220202111
532313210101
63231334101
7566206132
oct203504225
971833511
1034506901
1118529600
12b681331
1371c24b0
144823589
153069401
hex20e8895

34506901 has 12 divisors (see below), whose sum is σ = 40848556. Its totient is φ = 28955520.

The previous prime is 34506887. The next prime is 34506911. The reversal of 34506901 is 10960543.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 29170801 = 2310^2 + 5401^2 .

It is not a de Polignac number, because 34506901 - 217 = 34375829 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34506901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9396 + ... + 12541.

Almost surely, 234506901 is an apocalyptic number.

It is an amenable number.

34506901 is a deficient number, since it is larger than the sum of its proper divisors (6341655).

34506901 is a wasteful number, since it uses less digits than its factorization.

34506901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972 (or 21961 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 34506901 is about 5874.2574849933. The cubic root of 34506901 is about 325.5632080414.

It can be divided in two parts, 3450 and 6901, that multiplied together give a triangular number (23808450 = T6900).

The spelling of 34506901 in words is "thirty-four million, five hundred six thousand, nine hundred one".

Divisors: 1 11 13 121 143 1573 21937 241307 285181 2654377 3136991 34506901