Search a number
-
+
3431293248 = 26328163599
BaseRepresentation
bin1100110010000101…
…0110000101000000
322212010120202110010
43030201112011000
524011402340443
61324252304520
7151013340255
oct31441260500
98763522403
103431293248
11150096a449
127b9172140
13428b61646
142479d542c
15151389733
hexcc856140

3431293248 has 56 divisors (see below), whose sum is σ = 9111081600. Its totient is φ = 1139676160.

The previous prime is 3431293219. The next prime is 3431293259. The reversal of 3431293248 is 8423921343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22153 + ... + 85751.

Almost surely, 23431293248 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 3431293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555540800).

3431293248 is an abundant number, since it is smaller than the sum of its proper divisors (5679788352).

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

3431293248 is a wasteful number, since it uses less digits than its factorization.

3431293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63895 (or 63885 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 3431293248 is about 58577.2417240689. The cubic root of 3431293248 is about 1508.2937978696.

The spelling of 3431293248 in words is "three billion, four hundred thirty-one million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 4496 6744 8992 13488 17984 26976 53952 63599 127198 190797 254396 381594 508792 763188 1017584 1526376 2035168 3052752 4070336 6105504 12211008 17871319 35742638 53613957 71485276 107227914 142970552 214455828 285941104 428911656 571882208 857823312 1143764416 1715646624 3431293248