Search a number
-
+
32304990 = 23561127139
BaseRepresentation
bin111101100111…
…0111101011110
32020210021010010
41323032331132
531232224430
63112224050
7541405434
oct173167536
966707103
1032304990
1117265243
12a99b026
1369011a3
14440cd54
152c81cb0
hex1ecef5e

32304990 has 64 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 8346240.

The previous prime is 32304983. The next prime is 32305001. The reversal of 32304990 is 9940323.

It is a super-2 number, since 2×323049902 = 2087224757800200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232341 + ... + 232479.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 232304990 is an apocalyptic number.

32304990 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 32304990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

32304990 is an abundant number, since it is smaller than the sum of its proper divisors (47689890).

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

32304990 is a wasteful number, since it uses less digits than its factorization.

32304990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 32304990 is about 5683.7478832193. The cubic root of 32304990 is about 318.4856508778.

The spelling of 32304990 in words is "thirty-two million, three hundred four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 61 122 127 139 183 254 278 305 366 381 417 610 635 695 762 834 915 1270 1390 1830 1905 2085 3810 4170 7747 8479 15494 16958 17653 23241 25437 35306 38735 42395 46482 50874 52959 77470 84790 88265 105918 116205 127185 176530 232410 254370 264795 529590 1076833 2153666 3230499 5384165 6460998 10768330 16152495 32304990