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34074047016 = 2332473250653
BaseRepresentation
bin11111101110111110…
…001011001000101000
310020221200022221020100
4133232332023020220
51024240424001031
623353045025400
72314246422642
oct375676131050
9106850287210
1034074047016
11134a5a02939
12672b3b5260
1332a04413c9
141913555892
15d46628de6
hex7eef8b228

34074047016 has 24 divisors (see below), whose sum is σ = 92283877530. Its totient is φ = 11358015648.

The previous prime is 34074047009. The next prime is 34074047023. The reversal of 34074047016 is 61074047043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34074047009) and next prime (34074047023).

It can be written as a sum of positive squares in only one way, i.e., 20462158116 + 13611888900 = 143046^2 + 116670^2 .

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

It is a super-2 number, since 2×340740470162 (a number of 22 digits) contains 22 as substring.

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

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, 236625255 + ... + 236625398.

Almost surely, 234074047016 is an apocalyptic number.

34074047016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34074047016 is an abundant number, since it is smaller than the sum of its proper divisors (58209830514).

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

34074047016 is a wasteful number, since it uses less digits than its factorization.

34074047016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473250665 (or 473250658 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34074047016 in words is "thirty-four billion, seventy-four million, forty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 473250653 946501306 1419751959 1893002612 2839503918 3786005224 4259255877 5679007836 8518511754 11358015672 17037023508 34074047016