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3613134040 = 2355915110139
BaseRepresentation
bin1101011101011100…
…0000110011011000
3100022210202020010021
43113113000303120
524344430242130
61354310000224
7155352063325
oct32727006330
910283666107
103613134040
11159457a09a
1284a046074
1345772b349
14263c0bb4c
1516230837a
hexd75c0cd8

3613134040 has 64 divisors (see below), whose sum is σ = 8322912000. Its totient is φ = 1411209600.

The previous prime is 3613134037. The next prime is 3613134047. The reversal of 3613134040 is 404313163.

It is a happy number.

3613134040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3613133996 and 3613134014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613134047) 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, 351291 + ... + 361429.

It is an arithmetic number, because the mean of its divisors is an integer number (130045500).

Almost surely, 23613134040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3613134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161456000).

3613134040 is an abundant number, since it is smaller than the sum of its proper divisors (4709777960).

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

3613134040 is a wasteful number, since it uses less digits than its factorization.

3613134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3613134040 is about 60109.3506868940. The cubic root of 3613134040 is about 1534.4804432330.

The spelling of 3613134040 in words is "three billion, six hundred thirteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 151 236 295 302 472 590 604 755 1180 1208 1510 2360 3020 6040 8909 10139 17818 20278 35636 40556 44545 50695 71272 81112 89090 101390 178180 202780 356360 405560 598201 1196402 1530989 2392804 2991005 3061978 4785608 5982010 6123956 7654945 11964020 12247912 15309890 23928040 30619780 61239560 90328351 180656702 361313404 451641755 722626808 903283510 1806567020 3613134040