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34742374293 = 3113728454033
BaseRepresentation
bin100000010110110011…
…101000111110010101
310022200020220110220110
4200112303220332111
51032123021434133
623543241353233
72336643210654
oct402663507625
9108606813813
1034742374293
111380918a030
126897198819
133378a41333
14197820719b
15d85141c63
hex816ce8f95

34742374293 has 16 divisors (see below), whose sum is σ = 51900158016. Its totient is φ = 20486903040.

The previous prime is 34742374283. The next prime is 34742374307. The reversal of 34742374293 is 39247324743.

It is a happy number.

34742374293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34742374293 - 26 = 34742374229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34742374243) 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, 14225796 + ... + 14228237.

It is an arithmetic number, because the mean of its divisors is an integer number (3243759876).

Almost surely, 234742374293 is an apocalyptic number.

34742374293 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34742374293 is a deficient number, since it is larger than the sum of its proper divisors (17157783723).

34742374293 is a wasteful number, since it uses less digits than its factorization.

34742374293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28454084.

The product of its digits is 3048192, while the sum is 48.

The spelling of 34742374293 in words is "thirty-four billion, seven hundred forty-two million, three hundred seventy-four thousand, two hundred ninety-three".

Divisors: 1 3 11 33 37 111 407 1221 28454033 85362099 312994363 938983089 1052799221 3158397663 11580791431 34742374293