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3506675742 = 232733377919
BaseRepresentation
bin1101000100000011…
…1010000000011110
3100001101102120210100
43101000322000132
524140202110432
61335544121530
7152620152303
oct32100720036
910041376710
103506675742
11153a477429
1281a4662a6
1343b66607b
14253a190aa
15157cca07c
hexd103a01e

3506675742 has 48 divisors (see below), whose sum is σ = 7725706560. Its totient is φ = 1149313536.

The previous prime is 3506675723. The next prime is 3506675743. The reversal of 3506675742 is 2475766053.

3506675742 is a `hidden beast` number, since 3 + 506 + 6 + 75 + 74 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506675743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438859 + ... + 446777.

It is an arithmetic number, because the mean of its divisors is an integer number (160952220).

Almost surely, 23506675742 is an apocalyptic number.

3506675742 is an abundant number, since it is smaller than the sum of its proper divisors (4219030818).

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

3506675742 is a wasteful number, since it uses less digits than its factorization.

3506675742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3506675742 is about 59217.1912707788. The cubic root of 3506675742 is about 1519.2591816460.

It can be divided in two parts, 350667 and 5742, that added together give a square (356409 = 5972).

The spelling of 3506675742 in words is "three billion, five hundred six million, six hundred seventy-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 337 438 657 674 1011 1314 2022 3033 6066 7919 15838 23757 24601 47514 49202 71271 73803 142542 147606 221409 442818 578087 1156174 1734261 2668703 3468522 5202783 5337406 8006109 10405566 16012218 24018327 48036654 194815319 389630638 584445957 1168891914 1753337871 3506675742