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3678103296 = 28337194001
BaseRepresentation
bin1101101100111011…
…0110011100000000
3100111100000000012000
43123032312130000
530013043301141
61404550304000
7160101235140
oct33316663400
910440000160
103678103296
11161821449a
12867958000
134680280aa
1426c6c0920
15167d8d5b6
hexdb3b6700

3678103296 has 288 divisors, whose sum is σ = 13088140800. Its totient is φ = 995328000.

The previous prime is 3678103271. The next prime is 3678103301. The reversal of 3678103296 is 6923018763.

3678103296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917296 + ... + 921296.

Almost surely, 23678103296 is an apocalyptic number.

3678103296 is a gapful number since it is divisible by the number (36) 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 3678103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544070400).

3678103296 is an abundant number, since it is smaller than the sum of its proper divisors (9410037504).

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

3678103296 is a wasteful number, since it uses less digits than its factorization.

3678103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3678103296 is about 60647.3684177640. The cubic root of 3678103296 is about 1543.6232357657.

The spelling of 3678103296 in words is "three billion, six hundred seventy-eight million, one hundred three thousand, two hundred ninety-six".