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381645342 = 2321317197487
BaseRepresentation
bin10110101111110…
…111001000011110
3222121010120222200
4112233313020132
51240200122332
6101511552330
712312634431
oct2657671036
9877116880
10381645342
11186479881
12a798b6a6
13610b6060
1438987818
152378a17c
hex16bf721e

381645342 has 96 divisors (see below), whose sum is σ = 949620672. Its totient is φ = 109734912.

The previous prime is 381645331. The next prime is 381645347. The reversal of 381645342 is 243546183.

381645342 is a `hidden beast` number, since 3 + 8 + 1 + 645 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381645297 and 381645306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381645347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783423 + ... + 783909.

It is an arithmetic number, because the mean of its divisors is an integer number (9891882).

Almost surely, 2381645342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381645342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474810336).

381645342 is an abundant number, since it is smaller than the sum of its proper divisors (567975330).

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

381645342 is a wasteful number, since it uses less digits than its factorization.

381645342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 381645342 is about 19535.7452378966. The cubic root of 381645342 is about 725.3595312293.

The spelling of 381645342 in words is "three hundred eighty-one million, six hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 197 221 234 306 394 442 487 591 663 974 1182 1326 1461 1773 1989 2561 2922 3349 3546 3978 4383 5122 6331 6698 7683 8279 8766 10047 12662 15366 16558 18993 20094 23049 24837 30141 37986 43537 46098 49674 56979 60282 74511 87074 95939 107627 113958 130611 149022 191878 215254 261222 287817 322881 391833 575634 645762 783666 863451 968643 1247207 1630963 1726902 1937286 2494414 3261926 3741621 4892889 7483242 9785778 11224863 14678667 21202519 22449726 29357334 42405038 63607557 127215114 190822671 381645342