Search a number
-
+
204346368 = 2103319389
BaseRepresentation
bin11000010111000…
…01010000000000
3112020111212112000
430023201100000
5404303040433
632135504000
75030626002
oct1413412000
9466455460
10204346368
11a53914a6
1258528000
1333449715
141d1d4372
1512e17113
hexc2e1400

204346368 has 176 divisors, whose sum is σ = 638664000. Its totient is φ = 64364544.

The previous prime is 204346367. The next prime is 204346369. The reversal of 204346368 is 863643402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204346367) and next prime (204346369).

It is a super-2 number, since 2×2043463682 = 83514876229582848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204346367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525118 + ... + 525506.

Almost surely, 2204346368 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 204346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319332000).

204346368 is an abundant number, since it is smaller than the sum of its proper divisors (434317632).

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

204346368 is a wasteful number, since it uses less digits than its factorization.

204346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 204346368 is about 14294.9770199186. The cubic root of 204346368 is about 589.0095111376.

The spelling of 204346368 in words is "two hundred four million, three hundred forty-six thousand, three hundred sixty-eight".