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364198086 = 23374532
BaseRepresentation
bin10101101101010…
…011100011000110
3221101022011212000
4111231103203012
51221213314321
6100050010130
712011430000
oct2555234306
9841264760
10364198086
1117764245a
12a1b76946
135a5b7835
1436525370
1521e90826
hex15b538c6

364198086 has 120 divisors (see below), whose sum is σ = 962311560. Its totient is φ = 102093264.

The previous prime is 364198069. The next prime is 364198097. The reversal of 364198086 is 680891463.

364198086 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6871636 + ... + 6871688.

It is an arithmetic number, because the mean of its divisors is an integer number (8019263).

Almost surely, 2364198086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364198086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481155780).

364198086 is an abundant number, since it is smaller than the sum of its proper divisors (598113474).

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

364198086 is an frugal number, since it uses more digits than its factorization.

364198086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 364198086 is about 19083.9745860237. The cubic root of 364198086 is about 714.1331931450.

The spelling of 364198086 in words is "three hundred sixty-four million, one hundred ninety-eight thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 98 106 126 147 159 189 294 318 343 371 378 441 477 686 742 882 954 1029 1113 1323 1431 2058 2226 2401 2597 2646 2809 2862 3087 3339 4802 5194 5618 6174 6678 7203 7791 8427 9261 10017 14406 15582 16854 18179 18522 19663 20034 21609 23373 25281 36358 39326 43218 46746 50562 54537 58989 64827 70119 75843 109074 117978 127253 129654 137641 140238 151686 163611 176967 254506 275282 327222 353934 381759 412923 490833 530901 763518 825846 963487 981666 1061802 1145277 1238769 1926974 2290554 2477538 2890461 3435831 3716307 5780922 6744409 6871662 7432614 8671383 13488818 17342766 20233227 26014149 40466454 52028298 60699681 121399362 182099043 364198086