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3390998736 = 243317333109
BaseRepresentation
bin1100101000011110…
…1000100011010000
322202022202120202210
43022013220203100
523421043424421
61320252512120
7150014004456
oct31207504320
98668676683
103390998736
1114901485a4
127a777b640
134206c3a38
142425069d6
1514ca7a576
hexca1e88d0

3390998736 has 80 divisors (see below), whose sum is σ = 9057912320. Its totient is φ = 1092026880.

The previous prime is 3390998731. The next prime is 3390998749. The reversal of 3390998736 is 6378990933.

It is a super-2 number, since 2×33909987362 = 22997744855107195392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390998731) 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 15 ways as a sum of consecutive naturals, for example, 1089150 + ... + 1092258.

It is an arithmetic number, because the mean of its divisors is an integer number (113223904).

Almost surely, 23390998736 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 3390998736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528956160).

3390998736 is an abundant number, since it is smaller than the sum of its proper divisors (5666913584).

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

3390998736 is a wasteful number, since it uses less digits than its factorization.

3390998736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The square root of 3390998736 is about 58232.2825930772. The cubic root of 3390998736 is about 1502.3664477645.

The spelling of 3390998736 in words is "three billion, three hundred ninety million, nine hundred ninety-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 733 744 1466 1488 2199 2932 3109 4398 5864 6218 8796 9327 11728 12436 17592 18654 22723 24872 35184 37308 45446 49744 68169 74616 90892 96379 136338 149232 181784 192758 272676 289137 363568 385516 545352 578274 771032 1090704 1156548 1542064 2278897 2313096 4557794 4626192 6836691 9115588 13673382 18231176 27346764 36462352 54693528 70645807 109387056 141291614 211937421 282583228 423874842 565166456 847749684 1130332912 1695499368 3390998736