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203374080 = 2932571397
BaseRepresentation
bin11000001111100…
…11111000000000
3112011200110210100
430013303320000
5404030432310
632103002400
75016436230
oct1407637000
9464613710
10203374080
11a4887a58
1258139400
1333198cc0
141d01dcc0
1512cc3ec0
hexc1f3e00

203374080 has 480 divisors, whose sum is σ = 875818944. Its totient is φ = 42467328.

The previous prime is 203374079. The next prime is 203374099. The reversal of 203374080 is 80473302.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2033740802 = 82722032831692800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096592 + ... + 2096688.

Almost surely, 2203374080 is an apocalyptic number.

203374080 is a gapful number since it is divisible by the number (20) 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 203374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437909472).

203374080 is an abundant number, since it is smaller than the sum of its proper divisors (672444864).

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

203374080 is a wasteful number, since it uses less digits than its factorization.

203374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

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

The square root of 203374080 is about 14260.9284410237. The cubic root of 203374080 is about 588.0738488394.

The spelling of 203374080 in words is "two hundred three million, three hundred seventy-four thousand, eighty".