Search a number
-
+
32346930 = 23571121967
BaseRepresentation
bin111101101100…
…1001100110010
32020212101122110
41323121030302
531240100210
63113150150
7541641630
oct173311462
966771573
1032346930
1117293800
12a9bb356
1369172c5
144420350
152c8e420
hex1ed9332

32346930 has 192 divisors, whose sum is σ = 104186880. Its totient is φ = 6272640.

The previous prime is 32346929. The next prime is 32346959. The reversal of 32346930 is 3964323.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482757 + ... + 482823.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 232346930 is an apocalyptic number.

32346930 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 32346930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

32346930 is an abundant number, since it is smaller than the sum of its proper divisors (71839950).

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

32346930 is a wasteful number, since it uses less digits than its factorization.

32346930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 32346930 is about 5687.4361534878. The cubic root of 32346930 is about 318.6234160960.

The spelling of 32346930 in words is "thirty-two million, three hundred forty-six thousand, nine hundred thirty".