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382640094 = 232293112357
BaseRepresentation
bin10110110011101…
…001111111011110
3222200000010112100
4112303221333132
51240423440334
6101545145530
712324246534
oct2663517736
9880003470
10382640094
11186a99191
12a818b2a6
1361373a75
1438b66154
15238d4c99
hex16ce9fde

382640094 has 48 divisors (see below), whose sum is σ = 860764320. Its totient is φ = 122700480.

The previous prime is 382640077. The next prime is 382640119. The reversal of 382640094 is 490046283.

It is a happy number.

382640094 is a `hidden beast` number, since 3 + 8 + 2 + 640 + 0 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161164 + ... + 163520.

It is an arithmetic number, because the mean of its divisors is an integer number (17932590).

Almost surely, 2382640094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382640094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430382160).

382640094 is an abundant number, since it is smaller than the sum of its proper divisors (478124226).

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

382640094 is a wasteful number, since it uses less digits than its factorization.

382640094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2702 counting only the distinct ones).

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

The square root of 382640094 is about 19561.1884608272. The cubic root of 382640094 is about 725.9891968431.

The spelling of 382640094 in words is "three hundred eighty-two million, six hundred forty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 311 522 622 933 1866 2357 2799 4714 5598 7071 9019 14142 18038 21213 27057 42426 54114 68353 81171 136706 162342 205059 410118 615177 733027 1230354 1466054 2199081 4398162 6597243 13194486 21257783 42515566 63773349 127546698 191320047 382640094