Search a number
-
+
3256122240 = 273657997
BaseRepresentation
bin1100001000010100…
…0111101110000000
322101220222011000000
43002011013232000
523132031402430
61255034000000
7143455403520
oct30205075600
98356864000
103256122240
111420aa5918
1276a576000
133cb78b767
1422c637680
15140cd6e60
hexc2147b80

3256122240 has 448 divisors, whose sum is σ = 13351563360. Its totient is φ = 743510016.

The previous prime is 3256122161. The next prime is 3256122263. The reversal of 3256122240 is 422216523.

It is a happy number.

3256122240 is a `hidden beast` number, since 3 + 2 + 5 + 612 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265422 + ... + 3266418.

Almost surely, 23256122240 is an apocalyptic number.

3256122240 is a gapful number since it is divisible by the number (30) 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 3256122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675781680).

3256122240 is an abundant number, since it is smaller than the sum of its proper divisors (10095441120).

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

3256122240 is an frugal number, since it uses more digits than its factorization.

3256122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3256122240 is about 57062.4415881410. The cubic root of 3256122240 is about 1482.1775590827.

Adding to 3256122240 its reverse (422216523), we get a palindrome (3678338763).

The spelling of 3256122240 in words is "three billion, two hundred fifty-six million, one hundred twenty-two thousand, two hundred forty".