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366542064 = 24337532287
BaseRepresentation
bin10101110110001…
…111110011110000
3221112201021012000
4111312033303300
51222313321224
6100212134000
712040361520
oct2566176360
9845637160
10366542064
111789a3529
12a2907300
135ac286c5
1436975680
15222a50c9
hex15d8fcf0

366542064 has 160 divisors (see below), whose sum is σ = 1225635840. Its totient is φ = 102705408.

The previous prime is 366542051. The next prime is 366542069. The reversal of 366542064 is 460245663.

366542064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366542069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159129 + ... + 161415.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2366542064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

366542064 is an abundant number, since it is smaller than the sum of its proper divisors (859093776).

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

366542064 is a wasteful number, since it uses less digits than its factorization.

366542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 366542064 is about 19145.2882976465. The cubic root of 366542064 is about 715.6619712509.

The spelling of 366542064 in words is "three hundred sixty-six million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2287 2544 2862 2968 3024 3339 3816 4452 4574 5724 5936 6678 6861 7632 8904 9148 10017 11448 13356 13722 16009 17808 18296 20034 20583 22896 26712 27444 32018 36592 40068 41166 48027 53424 54888 61749 64036 80136 82332 96054 109776 121211 123498 128072 144081 160272 164664 192108 242422 246996 256144 288162 329328 363633 384216 432243 484844 493992 576324 727266 768432 848477 864486 969688 987984 1090899 1152648 1454532 1696954 1728972 1939376 2181798 2305296 2545431 2909064 3272697 3393908 3457944 4363596 5090862 5818128 6545394 6787816 6915888 7636293 8727192 10181724 13090788 13575632 15272586 17454384 20363448 22908879 26181576 30545172 40726896 45817758 52363152 61090344 91635516 122180688 183271032 366542064