Base | Representation |
---|---|
bin | 10110010101011… |
… | …000010010100000 |
3 | 222010001220020200 |
4 | 112111120102200 |
5 | 1231411001024 |
6 | 101103105200 |
7 | 12166632225 |
oct | 2625302240 |
9 | 863056220 |
10 | 374703264 |
11 | 182568121 |
12 | a55a2200 |
13 | 5c825310 |
14 | 37a9b94c |
15 | 22d682c9 |
hex | 165584a0 |
374703264 has 144 divisors (see below), whose sum is σ = 1175998824. Its totient is φ = 112435200.
The previous prime is 374703257. The next prime is 374703271. The reversal of 374703264 is 462307473.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (374703257) and next prime (374703271).
It can be written as a sum of positive squares in 4 ways, for example, as 75690000 + 299013264 = 8700^2 + 17292^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152284 + ... + 154724.
Almost surely, 2374703264 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 374703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587999412).
374703264 is an abundant number, since it is smaller than the sum of its proper divisors (801295560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
374703264 is a wasteful number, since it uses less digits than its factorization.
374703264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2511 (or 2500 counting only the distinct ones).
The product of its (nonzero) digits is 84672, while the sum is 36.
The square root of 374703264 is about 19357.2535241960. The cubic root of 374703264 is about 720.9345272421.
The spelling of 374703264 in words is "three hundred seventy-four million, seven hundred three thousand, two hundred sixty-four".
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