Search a number
-
+
3352903290 = 2325117147701
BaseRepresentation
bin1100011111011001…
…0011111001111010
322122200002010122100
43013312103321322
523331320401130
61312412204230
7146042131152
oct30766237172
98580063570
103352903290
111470698960
12796a69676
13415846059
1423b42b762
15149552c60
hexc7d93e7a

3352903290 has 96 divisors (see below), whose sum is σ = 9644199552. Its totient is φ = 801360000.

The previous prime is 3352903283. The next prime is 3352903291. The reversal of 3352903290 is 923092533.

3352903290 is a `hidden beast` number, since 335 + 290 + 32 + 9 + 0 = 666.

It is a super-2 number, since 2×33529032902 = 22483920944185648200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3352903291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46440 + ... + 94140.

It is an arithmetic number, because the mean of its divisors is an integer number (100460412).

Almost surely, 23352903290 is an apocalyptic number.

3352903290 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 3352903290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822099776).

3352903290 is an abundant number, since it is smaller than the sum of its proper divisors (6291296262).

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

3352903290 is a wasteful number, since it uses less digits than its factorization.

3352903290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47796 (or 47793 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3352903290 is about 57904.2596878675. The cubic root of 3352903290 is about 1496.7192429870.

The spelling of 3352903290 in words is "three billion, three hundred fifty-two million, nine hundred three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 2130 2343 3195 3905 4686 6390 7029 7810 11715 14058 23430 35145 47701 70290 95402 143103 238505 286206 429309 477010 524711 715515 858618 1049422 1431030 1574133 2146545 2623555 3148266 3386771 4293090 4722399 5247110 6773542 7870665 9444798 10160313 15741330 16933855 20320626 23611995 30480939 33867710 37254481 47223990 50801565 60961878 74508962 101603130 111763443 152404695 186272405 223526886 304809390 335290329 372544810 558817215 670580658 1117634430 1676451645 3352903290