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3278478240 = 25355374353
BaseRepresentation
bin1100001101101001…
…1001101110100000
322110111000221200000
43003122121232200
523203242300430
61301153100000
7144146414412
oct30332315640
98414027600
103278478240
111432685254
12775b57600
134032b836b
142315b69b2
15142c50e60
hexc3699ba0

3278478240 has 576 divisors, whose sum is σ = 12422906496. Its totient is φ = 815173632.

The previous prime is 3278478227. The next prime is 3278478257. The reversal of 3278478240 is 428748723.

3278478240 is a `hidden beast` number, since 327 + 84 + 7 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61858054 + ... + 61858106.

It is an arithmetic number, because the mean of its divisors is an integer number (21567546).

Almost surely, 23278478240 is an apocalyptic number.

3278478240 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 3278478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211453248).

3278478240 is an abundant number, since it is smaller than the sum of its proper divisors (9144428256).

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

3278478240 is a wasteful number, since it uses less digits than its factorization.

3278478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3278478240 is about 57257.9971707010. The cubic root of 3278478240 is about 1485.5619544439.

The spelling of 3278478240 in words is "three billion, two hundred seventy-eight million, four hundred seventy-eight thousand, two hundred forty".