Base | Representation |
---|---|
bin | 10101101101000… |
… | …110000101101000 |
3 | 221101012101020000 |
4 | 111231012011220 |
5 | 1221210033302 |
6 | 100044503000 |
7 | 12011110155 |
oct | 2555060550 |
9 | 841171200 |
10 | 364142952 |
11 | 177604a98 |
12 | a1b4aa60 |
13 | 5a598704 |
14 | 3650d22c |
15 | 21e7e31c |
hex | 15b46168 |
364142952 has 80 divisors (see below), whose sum is σ = 1029170340. Its totient is φ = 120282624.
The previous prime is 364142939. The next prime is 364142953. The reversal of 364142952 is 259241463.
It is a happy number.
364142952 is a `hidden beast` number, since 3 + 641 + 4 + 2 + 9 + 5 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 341732196 + 22410756 = 18486^2 + 4734^2 .
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 (364142953) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70738 + ... + 75710.
Almost surely, 2364142952 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 364142952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514585170).
364142952 is an abundant number, since it is smaller than the sum of its proper divisors (665027388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
364142952 is a wasteful number, since it uses less digits than its factorization.
364142952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5104 (or 5091 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 364142952 is about 19082.5300209380. The cubic root of 364142952 is about 714.0971550584.
The spelling of 364142952 in words is "three hundred sixty-four million, one hundred forty-two thousand, nine hundred fifty-two".
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