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368892342 = 2327131131993
BaseRepresentation
bin10101111111001…
…101100110110110
3221201010200011100
4111333031212312
51223414023332
6100334350530
712066350610
oct2577154666
9851120140
10368892342
1117a259305
12a365b446
135b56c3c0
1436dc7db0
15225bb67c
hex15fcd9b6

368892342 has 96 divisors (see below), whose sum is σ = 992916288. Its totient is φ = 96380928.

The previous prime is 368892341. The next prime is 368892347. The reversal of 368892342 is 243298863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368892341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 184098 + ... + 186090.

It is an arithmetic number, because the mean of its divisors is an integer number (10342878).

Almost surely, 2368892342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368892342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496458144).

368892342 is an abundant number, since it is smaller than the sum of its proper divisors (624023946).

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

368892342 is a wasteful number, since it uses less digits than its factorization.

368892342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2131 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 368892342 is about 19206.5702820675. The cubic root of 368892342 is about 717.1883284169.

The spelling of 368892342 in words is "three hundred sixty-eight million, eight hundred ninety-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 113 117 126 182 226 234 273 339 546 678 791 819 1017 1469 1582 1638 1993 2034 2373 2938 3986 4407 4746 5979 7119 8814 10283 11958 13221 13951 14238 17937 20566 25909 26442 27902 30849 35874 41853 51818 61698 77727 83706 92547 125559 155454 181363 185094 225209 233181 251118 362726 450418 466362 544089 675627 1088178 1351254 1576463 1632267 2026881 2927717 3152926 3264534 4053762 4729389 5855434 8783151 9458778 14188167 17566302 20494019 26349453 28376334 40988038 52698906 61482057 122964114 184446171 368892342