Search a number
-
+
3264243400 = 2352113594133
BaseRepresentation
bin1100001010010000…
…0110011011001000
322102111020202010201
43002210012123020
523141121242100
61255524021544
7143614416415
oct30244063310
98374222121
103264243400
111425642420
127712318b4
13400373092
1422d74d10c
1514188d36a
hexc29066c8

3264243400 has 96 divisors (see below), whose sum is σ = 8304379200. Its totient is φ = 1183404800.

The previous prime is 3264243397. The next prime is 3264243403. The reversal of 3264243400 is 43424623.

It is an interprime number because it is at equal distance from previous prime (3264243397) and next prime (3264243403).

It is not an unprimeable number, because it can be changed into a prime (3264243403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787734 + ... + 791866.

It is an arithmetic number, because the mean of its divisors is an integer number (86503950).

Almost surely, 23264243400 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 3264243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152189600).

3264243400 is an abundant number, since it is smaller than the sum of its proper divisors (5040135800).

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

3264243400 is a wasteful number, since it uses less digits than its factorization.

3264243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3264243400 is about 57133.5575647097. The cubic root of 3264243400 is about 1483.4087790043.

The spelling of 3264243400 in words is "three billion, two hundred sixty-four million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 359 440 550 718 1100 1436 1795 2200 2872 3590 3949 4133 7180 7898 8266 8975 14360 15796 16532 17950 19745 20665 31592 33064 35900 39490 41330 45463 71800 78980 82660 90926 98725 103325 157960 165320 181852 197450 206650 227315 363704 394900 413300 454630 789800 826600 909260 1136575 1483747 1818520 2273150 2967494 4546300 5934988 7418735 9092600 11869976 14837470 16321217 29674940 32642434 37093675 59349880 65284868 74187350 81606085 130569736 148374700 163212170 296749400 326424340 408030425 652848680 816060850 1632121700 3264243400