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3391682616 = 2332710166629
BaseRepresentation
bin1100101000101000…
…1111100000111000
322202101001022212200
43022022033200320
523421232320431
61320315310200
7150022553340
oct31212174070
98671038780
103391682616
111490575393
127a7a4b360
134208a30ba
14242643d20
1514cb62ee6
hexca28f838

3391682616 has 96 divisors (see below), whose sum is σ = 10602165600. Its totient is φ = 959443200.

The previous prime is 3391682587. The next prime is 3391682621. The reversal of 3391682616 is 6162861933.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17590 + ... + 84218.

It is an arithmetic number, because the mean of its divisors is an integer number (110439225).

Almost surely, 23391682616 is an apocalyptic number.

3391682616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3391682616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301082800).

3391682616 is an abundant number, since it is smaller than the sum of its proper divisors (7210482984).

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

3391682616 is a wasteful number, since it uses less digits than its factorization.

3391682616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66749 (or 66742 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3391682616 is about 58238.1542976767. The cubic root of 3391682616 is about 1502.4674376089.

The spelling of 3391682616 in words is "three billion, three hundred ninety-one million, six hundred eighty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1414 1818 2121 2424 2828 3636 4242 5656 6363 7272 8484 12726 16968 25452 50904 66629 133258 199887 266516 399774 466403 533032 599661 799548 932806 1199322 1399209 1599096 1865612 2398644 2798418 3731224 4197627 4797288 5596836 6729529 8395254 11193672 13459058 16790508 20188587 26918116 33581016 40377174 47106703 53836232 60565761 80754348 94213406 121131522 141320109 161508696 188426812 242263044 282640218 376853624 423960327 484526088 565280436 847920654 1130560872 1695841308 3391682616