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3506880040 = 235121372277
BaseRepresentation
bin1101000100000110…
…1011111000101000
3100001101210222000221
43101001223320220
524140230130130
61335552335424
7152621663026
oct32101537050
910041728027
103506880040
11153a5a6974
1281a544574
1343b708061
14253a6d716
15157d1a87a
hexd106be28

3506880040 has 32 divisors (see below), whose sum is σ = 7897094280. Its totient is φ = 1401576192.

The previous prime is 3506880029. The next prime is 3506880049. The reversal of 3506880040 is 400886053.

It can be written as a sum of positive squares in 4 ways, for example, as 2678476516 + 828403524 = 51754^2 + 28782^2 .

It is a super-2 number, since 2×35068800402 = 24596415229900803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3506879978 and 3506880005.

It is not an unprimeable number, because it can be changed into a prime (3506880049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12382 + ... + 84658.

Almost surely, 23506880040 is an apocalyptic number.

It is an amenable number.

3506880040 is an abundant number, since it is smaller than the sum of its proper divisors (4390214240).

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

3506880040 is a wasteful number, since it uses less digits than its factorization.

3506880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73501 (or 73497 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3506880040 is about 59218.9162345952. The cubic root of 3506880040 is about 1519.2886849522.

The spelling of 3506880040 in words is "three billion, five hundred six million, eight hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1213 2426 4852 6065 9704 12130 24260 48520 72277 144554 289108 361385 578216 722770 1445540 2891080 87672001 175344002 350688004 438360005 701376008 876720010 1753440020 3506880040