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364545342 = 23275379691
BaseRepresentation
bin10101101110101…
…000010100111110
3221101221211012100
4111232220110332
51221310422332
6100101245530
712014404260
oct2556502476
9841854170
10364545342
1117785a347
12a21038a6
135a6a9905
14365b5b30
152200d67c
hex15ba853e

364545342 has 96 divisors (see below), whose sum is σ = 932705280. Its totient is φ = 100751040.

The previous prime is 364545323. The next prime is 364545367. The reversal of 364545342 is 243545463.

364545342 is a `hidden beast` number, since 3 + 645 + 4 + 5 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 364545297 and 364545306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527217 + ... + 527907.

It is an arithmetic number, because the mean of its divisors is an integer number (9715680).

Almost surely, 2364545342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364545342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466352640).

364545342 is an abundant number, since it is smaller than the sum of its proper divisors (568159938).

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

364545342 is a wasteful number, since it uses less digits than its factorization.

364545342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 835 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 364545342 is about 19093.0705230982. The cubic root of 364545342 is about 714.3600918854.

The spelling of 364545342 in words is "three hundred sixty-four million, five hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 79 106 126 158 159 237 318 371 474 477 553 691 711 742 954 1106 1113 1382 1422 1659 2073 2226 3318 3339 4146 4187 4837 4977 6219 6678 8374 9674 9954 12438 12561 14511 25122 29022 29309 36623 37683 43533 54589 58618 73246 75366 87066 87927 109178 109869 163767 175854 219738 256361 263781 327534 329607 382123 491301 512722 527562 659214 764246 769083 982602 1146369 1538166 2292738 2307249 2893217 3439107 4614498 5786434 6878214 8679651 17359302 20252519 26038953 40505038 52077906 60757557 121515114 182272671 364545342