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204053344 = 2511661877
BaseRepresentation
bin11000010100110…
…01101101100000
3112012221222120021
430022121231200
5404214201334
632125323224
75025265465
oct1412315540
9465858507
10204053344
11a5201330
1258406514
1333376231
141d15966c
1512daa3b4
hexc299b60

204053344 has 48 divisors (see below), whose sum is σ = 439414416. Its totient is φ = 92505600.

The previous prime is 204053321. The next prime is 204053347. The reversal of 204053344 is 443350402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204053347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232234 + ... + 233110.

It is an arithmetic number, because the mean of its divisors is an integer number (9154467).

Almost surely, 2204053344 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 204053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219707208).

204053344 is an abundant number, since it is smaller than the sum of its proper divisors (235361072).

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

204053344 is a wasteful number, since it uses less digits than its factorization.

204053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 204053344 is about 14284.7241485441. The cubic root of 204053344 is about 588.7278382638.

The spelling of 204053344 in words is "two hundred four million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 661 877 1322 1754 2644 3508 5288 7016 7271 9647 10576 14032 14542 19294 21152 28064 29084 38588 58168 77176 116336 154352 232672 308704 579697 1159394 2318788 4637576 6376667 9275152 12753334 18550304 25506668 51013336 102026672 204053344