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3712536340 = 225372135593
BaseRepresentation
bin1101110101001000…
…1100111100010100
3100120201210101102221
43131102030330110
530100402130330
61412220312124
7161000016052
oct33522147424
910521711387
103712536340
1116356a2557
128773a2644
134721c2a86
142730c51d2
1516ade0b7a
hexdd48cf14

3712536340 has 36 divisors (see below), whose sum is σ = 8012791836. Its totient is φ = 1444868352.

The previous prime is 3712536337. The next prime is 3712536341. The reversal of 3712536340 is 436352173.

3712536340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1693651716 + 2018884624 = 41154^2 + 44932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3712536296 and 3712536305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712536341) 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, 40417 + ... + 95176.

It is an arithmetic number, because the mean of its divisors is an integer number (222577551).

Almost surely, 23712536340 is an apocalyptic number.

It is an amenable number.

3712536340 is an abundant number, since it is smaller than the sum of its proper divisors (4300255496).

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

3712536340 is a wasteful number, since it uses less digits than its factorization.

3712536340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135676 (or 135637 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 3712536340 is about 60930.5862436921. The cubic root of 3712536340 is about 1548.4252254320.

The spelling of 3712536340 in words is "three billion, seven hundred twelve million, five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 135593 271186 542372 677965 1355930 2711860 5016941 10033882 20067764 25084705 50169410 100338820 185626817 371253634 742507268 928134085 1856268170 3712536340