Search a number
-
+
364606740 = 223252025593
BaseRepresentation
bin10101101110110…
…111010100010100
3221102001221102100
4111232313110110
51221314403430
6100102442100
712015051261
oct2556672424
9842057370
10364606740
111778a1493
12a2133330
135a6cb844
14365d0268
1522021960
hex15bb7514

364606740 has 36 divisors (see below), whose sum is σ = 1105974324. Its totient is φ = 97228416.

The previous prime is 364606721. The next prime is 364606757. The reversal of 364606740 is 47606463.

364606740 is a `hidden beast` number, since 3 + 6 + 4 + 606 + 7 + 40 = 666.

364606740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 228977424 + 135629316 = 15132^2 + 11646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 364606695 and 364606704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1012617 + ... + 1012976.

It is an arithmetic number, because the mean of its divisors is an integer number (30721509).

Almost surely, 2364606740 is an apocalyptic number.

364606740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364606740 is an abundant number, since it is smaller than the sum of its proper divisors (741367584).

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

364606740 is a wasteful number, since it uses less digits than its factorization.

364606740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025608 (or 2025603 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 364606740 is about 19094.6783162220. The cubic root of 364606740 is about 714.4001946414.

The spelling of 364606740 in words is "three hundred sixty-four million, six hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2025593 4051186 6076779 8102372 10127965 12153558 18230337 20255930 24307116 30383895 36460674 40511860 60767790 72921348 91151685 121535580 182303370 364606740