Base | Representation |
---|---|
bin | 10110000011100… |
… | …001110100010000 |
3 | 221210021011002100 |
4 | 112003201310100 |
5 | 1224211224241 |
6 | 100414520400 |
7 | 12112102200 |
oct | 2603416420 |
9 | 853234070 |
10 | 370023696 |
11 | 17a961309 |
12 | a3b06100 |
13 | 5b877343 |
14 | 37200400 |
15 | 227419b6 |
hex | 160e1d10 |
370023696 has 135 divisors (see below), whose sum is σ = 1209905541. Its totient is φ = 105259392.
The previous prime is 370023691. The next prime is 370023697. The reversal of 370023696 is 696320073.
The square root of 370023696 is 19236.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 344622096 + 25401600 = 18564^2 + 5040^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 370023696.
It is not an unprimeable number, because it can be changed into a prime (370023691) by changing a digit.
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 26 ways as a sum of consecutive naturals, for example, 1615710 + ... + 1615938.
Almost surely, 2370023696 is an apocalyptic number.
370023696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
370023696 is the 19236-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 370023696
370023696 is an abundant number, since it is smaller than the sum of its proper divisors (839881845).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
370023696 is a wasteful number, since it uses less digits than its factorization.
370023696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 486 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 40824, while the sum is 36.
The cubic root of 370023696 is about 717.9207605438.
Multiplying 370023696 by its sum of digits (36), we get a square (13320853056 = 1154162).
370023696 divided by its sum of digits (36) gives a square (10278436 = 32062).
The spelling of 370023696 in words is "three hundred seventy million, twenty-three thousand, six hundred ninety-six".
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