Search a number
-
+
3234912 = 253311087
BaseRepresentation
bin1100010101110001100000
320002100110120
430111301200
51312004122
6153200240
736332142
oct14256140
96070416
103234912
11190a48a
121100080
13893565
14602c92
1543d75c
hex315c60

3234912 has 48 divisors (see below), whose sum is σ = 8773632. Its totient is φ = 1042560.

The previous prime is 3234901. The next prime is 3234919. The reversal of 3234912 is 2194323.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2433 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (182784).

Almost surely, 23234912 is an apocalyptic number.

3234912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386816).

3234912 is an abundant number, since it is smaller than the sum of its proper divisors (5538720).

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

3234912 is a wasteful number, since it uses less digits than its factorization.

3234912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3234912 is about 1798.5861113664. The cubic root of 3234912 is about 147.8952265515.

The spelling of 3234912 in words is "three million, two hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1087 1488 2174 2976 3261 4348 6522 8696 13044 17392 26088 33697 34784 52176 67394 101091 104352 134788 202182 269576 404364 539152 808728 1078304 1617456 3234912