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368919468 = 2233311011091
BaseRepresentation
bin10101111111010…
…100001110101100
3221201012001101000
4111333110032230
51223420410333
6100335120300
712066522651
oct2577241654
9851161330
10368919468
1117a277725
12a3673090
135b57b858
1436dd3c28
15225c4713
hex15fd43ac

368919468 has 96 divisors (see below), whose sum is σ = 998000640. Its totient is φ = 117720000.

The previous prime is 368919461. The next prime is 368919511. The reversal of 368919468 is 864919863.

It is a super-2 number, since 2×3689194682 = 272203147738806048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (368919461) 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, 337603 + ... + 338693.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2368919468 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 368919468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499000320).

368919468 is an abundant number, since it is smaller than the sum of its proper divisors (629081172).

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

368919468 is a wasteful number, since it uses less digits than its factorization.

368919468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 368919468 is about 19207.2764336852. The cubic root of 368919468 is about 717.2059071443.

The spelling of 368919468 in words is "three hundred sixty-eight million, nine hundred nineteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 101 108 124 186 202 279 303 372 404 558 606 837 909 1091 1116 1212 1674 1818 2182 2727 3131 3273 3348 3636 4364 5454 6262 6546 9393 9819 10908 12524 13092 18786 19638 28179 29457 33821 37572 39276 56358 58914 67642 84537 101463 110191 112716 117828 135284 169074 202926 220382 304389 330573 338148 405852 440764 608778 661146 913167 991719 1217556 1322292 1826334 1983438 2975157 3415921 3652668 3966876 5950314 6831842 10247763 11900628 13663684 20495526 30743289 40991052 61486578 92229867 122973156 184459734 368919468