Search a number
-
+
3332424090 = 2352513111423
BaseRepresentation
bin1100011010100000…
…1100000110011010
322121020112200110110
43012220030012122
523311100032330
61310401225150
7145403065062
oct30650140632
98536480413
103332424090
1114600805a6
127900321b6
13411525798
1423881a3a2
15147859db0
hexc6a0c19a

3332424090 has 64 divisors (see below), whose sum is σ = 8061161472. Its totient is φ = 881640000.

The previous prime is 3332424071. The next prime is 3332424103. The reversal of 3332424090 is 904242333.

It is a super-2 number, since 2×33324240902 = 22210100631224656200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 2341119 + ... + 2342541.

It is an arithmetic number, because the mean of its divisors is an integer number (125955648).

Almost surely, 23332424090 is an apocalyptic number.

3332424090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3332424090 is an abundant number, since it is smaller than the sum of its proper divisors (4728737382).

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

3332424090 is a wasteful number, since it uses less digits than its factorization.

3332424090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3332424090 is about 57727.1521036678. The cubic root of 3332424090 is about 1493.6657469212.

The spelling of 3332424090 in words is "three billion, three hundred thirty-two million, four hundred twenty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 251 311 502 622 753 933 1255 1423 1506 1555 1866 2510 2846 3110 3765 4269 4665 7115 7530 8538 9330 14230 21345 42690 78061 156122 234183 357173 390305 442553 468366 714346 780610 885106 1071519 1170915 1327659 1785865 2143038 2212765 2341830 2655318 3571730 4425530 5357595 6638295 10715190 13276590 111080803 222161606 333242409 555404015 666484818 1110808030 1666212045 3332424090