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3643433490 = 235599721221
BaseRepresentation
bin1101100100101010…
…0110001000010010
3100101220202121011010
43121022212020102
524430204332430
61401311231350
7156200450034
oct33112461022
910356677133
103643433490
1115aa694564
12858218556
13460aa9708
14267c57c54
15164ce0cb0
hexd92a6212

3643433490 has 64 divisors (see below), whose sum is σ = 8984545920. Its totient is φ = 945223680.

The previous prime is 3643433459. The next prime is 3643433491. The reversal of 3643433490 is 943343463.

It is not an unprimeable number, because it can be changed into a prime (3643433491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161080 + ... + 182300.

It is an arithmetic number, because the mean of its divisors is an integer number (140383530).

Almost surely, 23643433490 is an apocalyptic number.

3643433490 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 3643433490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492272960).

3643433490 is an abundant number, since it is smaller than the sum of its proper divisors (5341112430).

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

3643433490 is a wasteful number, since it uses less digits than its factorization.

3643433490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21387.

The product of its (nonzero) digits is 279936, while the sum is 39.

The square root of 3643433490 is about 60360.8605803463. The cubic root of 3643433490 is about 1538.7578517413.

The spelling of 3643433490 in words is "three billion, six hundred forty-three million, four hundred thirty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 97 118 177 194 291 295 354 485 582 590 885 970 1455 1770 2910 5723 11446 17169 21221 28615 34338 42442 57230 63663 85845 106105 127326 171690 212210 318315 636630 1252039 2058437 2504078 3756117 4116874 6175311 6260195 7512234 10292185 12350622 12520390 18780585 20584370 30876555 37561170 61753110 121447783 242895566 364343349 607238915 728686698 1214477830 1821716745 3643433490