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204374016 = 21534711
BaseRepresentation
bin11000010111010…
…00000000000000
3112020120021110000
430023220000000
5404304432031
632140240000
75031102420
oct1413500000
9466507400
10204374016
11a5400250
1258540000
1333459192
141d200480
1512e203e6
hexc2e8000

204374016 has 320 divisors, whose sum is σ = 761254560. Its totient is φ = 53084160.

The previous prime is 204374003. The next prime is 204374039. The reversal of 204374016 is 610473402.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18579451 + ... + 18579461.

Almost surely, 2204374016 is an apocalyptic number.

204374016 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380627280).

204374016 is an abundant number, since it is smaller than the sum of its proper divisors (556880544).

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

204374016 is an frugal number, since it uses more digits than its factorization.

204374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 204374016 is about 14295.9440401815. The cubic root of 204374016 is about 589.0360742075.

The spelling of 204374016 in words is "two hundred four million, three hundred seventy-four thousand, sixteen".