Search a number
-
+
102031344 = 2432798969
BaseRepresentation
bin1100001010011…
…01111111110000
321002222201200200
412011031333300
5202110000334
614042515200
72346152322
oct605157760
9232881620
10102031344
1152659728
122a205b00
13181a529c
14d79d612
158e56799
hex614dff0

102031344 has 60 divisors (see below), whose sum is σ = 289192800. Its totient is φ = 33576192.

The previous prime is 102031339. The next prime is 102031351. The reversal of 102031344 is 443130201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6892 + ... + 15860.

It is an arithmetic number, because the mean of its divisors is an integer number (4819880).

Almost surely, 2102031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144596400).

102031344 is an abundant number, since it is smaller than the sum of its proper divisors (187161456).

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

102031344 is a wasteful number, since it uses less digits than its factorization.

102031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102031344 is about 10101.0565783981. The cubic root of 102031344 is about 467.2807272385.

Adding to 102031344 its reverse (443130201), we get a palindrome (545161545).

The spelling of 102031344 in words is "one hundred two million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 8969 11376 17938 26907 35876 53814 71752 80721 107628 143504 161442 215256 322884 430512 645768 708551 1291536 1417102 2125653 2834204 4251306 5668408 6376959 8502612 11336816 12753918 17005224 25507836 34010448 51015672 102031344