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368041362 = 231319318011
BaseRepresentation
bin10101111011111…
…101110110010010
3221122112102211120
4111323331312102
51223204310422
6100304223110
712056204613
oct2573756622
9848472746
10368041362
11179827a17
12a330aa96
135b331c70
1436c45c0a
152249e45c
hex15efdd92

368041362 has 64 divisors (see below), whose sum is σ = 861450240. Its totient is φ = 103809600.

The previous prime is 368041327. The next prime is 368041367. The reversal of 368041362 is 263140863.

It is a super-3 number, since 3×3680413623 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (368041367) 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 31 ways as a sum of consecutive naturals, for example, 41937 + ... + 49947.

It is an arithmetic number, because the mean of its divisors is an integer number (13460160).

Almost surely, 2368041362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368041362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430725120).

368041362 is an abundant number, since it is smaller than the sum of its proper divisors (493408878).

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

368041362 is a wasteful number, since it uses less digits than its factorization.

368041362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 368041362 is about 19184.4041346089. The cubic root of 368041362 is about 716.6364213905.

The spelling of 368041362 in words is "three hundred sixty-eight million, forty-one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 741 806 1178 1209 1482 1767 2418 3534 7657 8011 15314 16022 22971 24033 45942 48066 104143 152209 208286 248341 304418 312429 456627 496682 624858 745023 913254 1490046 1978717 3228433 3957434 4718479 5936151 6456866 9436958 9685299 11872302 14155437 19370598 28310874 61340227 122680454 184020681 368041362