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3645015330 = 2351134931649
BaseRepresentation
bin1101100101000010…
…1000010100100010
3100102000201222000210
43121100220110202
524431110442310
61401405154550
7156220055565
oct33120502442
910360658023
103645015330
111600574a70
1285885ba56
13461211708
1426814a4dc
15165004820
hexd9428522

3645015330 has 64 divisors (see below), whose sum is σ = 9570960000. Its totient is φ = 881080320.

The previous prime is 3645015317. The next prime is 3645015331. The reversal of 3645015330 is 335105463.

It is a happy number.

It is a super-2 number, since 2×36450153302 = 26572273511870017800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3645015331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99346 + ... + 130994.

It is an arithmetic number, because the mean of its divisors is an integer number (149546250).

Almost surely, 23645015330 is an apocalyptic number.

3645015330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645015330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785480000).

3645015330 is an abundant number, since it is smaller than the sum of its proper divisors (5925944670).

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

3645015330 is a wasteful number, since it uses less digits than its factorization.

3645015330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32019.

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3645015330 is about 60373.9623513316. The cubic root of 3645015330 is about 1538.9805095312.

The spelling of 3645015330 in words is "three billion, six hundred forty-five million, fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 349 698 1047 1745 2094 3490 3839 5235 7678 10470 11517 19195 23034 31649 38390 57585 63298 94947 115170 158245 189894 316490 348139 474735 696278 949470 1044417 1740695 2088834 3481390 5222085 10444170 11045501 22091002 33136503 55227505 66273006 110455010 121500511 165682515 243001022 331365030 364501533 607502555 729003066 1215005110 1822507665 3645015330