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3389431416 = 233721195617
BaseRepresentation
bin1100101000000110…
…1001111001111000
322202012210221210220
43022001221321320
523420143301131
61320155140040
7146664456150
oct31201517170
98665727726
103389431416
11148a277a98
127a7144620
13420295527
14242219760
1514c86ae96
hexca069e78

3389431416 has 64 divisors (see below), whose sum is σ = 9730087680. Its totient is φ = 963809280.

The previous prime is 3389431387. The next prime is 3389431433. The reversal of 3389431416 is 6141349833.

It is a super-2 number, since 2×33894314162 = 22976490647535530112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361 + ... + 83256.

It is an arithmetic number, because the mean of its divisors is an integer number (152032620).

Almost surely, 23389431416 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 3389431416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865043840).

3389431416 is an abundant number, since it is smaller than the sum of its proper divisors (6340656264).

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

3389431416 is a wasteful number, since it uses less digits than its factorization.

3389431416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95844 (or 95840 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3389431416 is about 58218.8235538988. The cubic root of 3389431416 is about 1502.1349474468.

The spelling of 3389431416 in words is "three billion, three hundred eighty-nine million, four hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 4431 5064 5908 8862 11816 17724 35448 95617 191234 286851 382468 573702 669319 764936 1147404 1338638 2007957 2294808 2677276 4015914 5354552 8031828 16063656 20175187 40350374 60525561 80700748 121051122 141226309 161401496 242102244 282452618 423678927 484204488 564905236 847357854 1129810472 1694715708 3389431416