Search a number
-
+
342226368 = 26321154013
BaseRepresentation
bin10100011001011…
…111010111000000
3212211221220022200
4110121133113000
51200102220433
653543033200
711323606341
oct2431372700
9784856280
10342226368
111661a5810
129673b800
1355b93b13
14336460c8
15200a0613
hex1465f5c0

342226368 has 84 divisors (see below), whose sum is σ = 1070125368. Its totient is φ = 103703040.

The previous prime is 342226363. The next prime is 342226369. The reversal of 342226368 is 863622243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342226363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20671 + ... + 33342.

Almost surely, 2342226368 is an apocalyptic number.

It is an amenable number.

342226368 is an abundant number, since it is smaller than the sum of its proper divisors (727899000).

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

342226368 is a wasteful number, since it uses less digits than its factorization.

342226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042 (or 54029 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 342226368 is about 18499.3612862715. The cubic root of 342226368 is about 699.4733235586.

The spelling of 342226368 in words is "three hundred forty-two million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 54013 108026 162039 216052 324078 432104 486117 594143 648156 864208 972234 1188286 1296312 1728416 1782429 1944468 2376572 2592624 3456832 3564858 3888936 4753144 5185248 5347287 7129716 7777872 9506288 10370496 10694574 14259432 15555744 19012576 21389148 28518864 31111488 38025152 42778296 57037728 85556592 114075456 171113184 342226368