Search a number
-
+
3194400256 = 2910758309
BaseRepresentation
bin1011111001100110…
…1010111000000000
322020121211100100121
42332121222320000
523020231302011
61244551030024
7142105645165
oct27631527000
98217740317
103194400256
11139a179213
1275196b314
133bba5aa88
1422436c06c
1513a693e71
hexbe66ae00

3194400256 has 40 divisors (see below), whose sum is σ = 6442322040. Its totient is φ = 1582245888.

The previous prime is 3194400247. The next prime is 3194400269. The reversal of 3194400256 is 6520044913.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25630 + ... + 83938.

It is an arithmetic number, because the mean of its divisors is an integer number (161058051).

Almost surely, 23194400256 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 3194400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221161020).

3194400256 is an abundant number, since it is smaller than the sum of its proper divisors (3247921784).

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

3194400256 is an equidigital number, since it uses as much as digits as its factorization.

3194400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58434 (or 58418 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 3194400256 is about 56519.0256108507. The cubic root of 3194400256 is about 1472.7525295230.

The spelling of 3194400256 in words is "three billion, one hundred ninety-four million, four hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1712 3424 6848 13696 27392 54784 58309 116618 233236 466472 932944 1865888 3731776 6239063 7463552 12478126 14927104 24956252 29854208 49912504 99825008 199650016 399300032 798600064 1597200128 3194400256