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368765838 = 23375379233
BaseRepresentation
bin10101111110101…
…110101110001110
3221200220020122000
4111332232232032
51223401001323
6100331533130
712065313030
oct2576565616
9850806560
10368765838
1117a182261
12a35ba1a6
135b52694c
1436d93c50
1522593e43
hex15faeb8e

368765838 has 128 divisors (see below), whose sum is σ = 970444800. Its totient is φ = 101627136.

The previous prime is 368765809. The next prime is 368765861. The reversal of 368765838 is 838567863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582570 + ... + 1582802.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2368765838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368765838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485222400).

368765838 is an abundant number, since it is smaller than the sum of its proper divisors (601678962).

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

368765838 is a wasteful number, since it uses less digits than its factorization.

368765838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 368765838 is about 19203.2767516380. The cubic root of 368765838 is about 717.1063374085.

The spelling of 368765838 in words is "three hundred sixty-eight million, seven hundred sixty-five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 79 106 126 158 159 189 233 237 318 371 378 466 474 477 553 699 711 742 954 1106 1113 1398 1422 1431 1631 1659 2097 2133 2226 2862 3262 3318 3339 4187 4194 4266 4893 4977 6291 6678 8374 9786 9954 10017 12349 12561 12582 14679 14931 18407 20034 24698 25122 29309 29358 29862 36814 37047 37683 44037 55221 58618 74094 75366 86443 87927 88074 110442 111141 113049 128849 165663 172886 175854 222282 226098 257698 259329 263781 331326 333423 386547 496989 518658 527562 666846 773094 777987 791343 975571 993978 1159641 1555974 1582686 1951142 2319282 2333961 2926713 3478923 4667922 5853426 6828997 6957846 8780139 13657994 17560278 20486991 26340417 40973982 52680834 61460973 122921946 184382919 368765838