Search a number
-
+
364141494 = 2343779769
BaseRepresentation
bin10101101101000…
…101101110110110
3221101012022020000
4111231011232312
51221210011434
6100044452130
712011103003
oct2555055666
9841168200
10364141494
11177603992
12a1b4a046
135a597b52
143650c8aa
1521e7db99
hex15b45bb6

364141494 has 80 divisors (see below), whose sum is σ = 849710400. Its totient is φ = 116453376.

The previous prime is 364141489. The next prime is 364141523. The reversal of 364141494 is 494141463.

It is a happy number.

364141494 is a `hidden beast` number, since 3 + 641 + 4 + 1 + 4 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473142 + ... + 473910.

It is an arithmetic number, because the mean of its divisors is an integer number (10621380).

Almost surely, 2364141494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364141494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424855200).

364141494 is an abundant number, since it is smaller than the sum of its proper divisors (485568906).

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

364141494 is a wasteful number, since it uses less digits than its factorization.

364141494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 364141494 is about 19082.4918184183. The cubic root of 364141494 is about 714.0962019941.

The spelling of 364141494 in words is "three hundred sixty-four million, one hundred forty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 79 81 111 158 162 222 237 333 474 666 711 769 999 1422 1538 1998 2133 2307 2923 2997 4266 4614 5846 5994 6399 6921 8769 12798 13842 17538 20763 26307 28453 41526 52614 56906 60751 62289 78921 85359 121502 124578 157842 170718 182253 236763 256077 364506 473526 512154 546759 768231 1093518 1536462 1640277 2247787 2304693 3280554 4495574 4609386 4920831 6743361 9841662 13486722 20230083 40460166 60690249 121380498 182070747 364141494