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336227436 = 2235379349
BaseRepresentation
bin10100000010100…
…110110001101100
3212102200010100000
4110002212301230
51142033234221
653210304300
711221612626
oct2402466154
9772603300
10336227436
11162878716
1294728090
135487345c
1432923c16
151e7b7e26
hex140a6c6c

336227436 has 72 divisors (see below), whose sum is σ = 905304400. Its totient is φ = 109035072.

The previous prime is 336227431. The next prime is 336227453. The reversal of 336227436 is 634722633.

It is a super-2 number, since 2×3362274362 = 226097777438268192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 336227436.

It is not an unprimeable number, because it can be changed into a prime (336227431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31290 + ... + 40638.

Almost surely, 2336227436 is an apocalyptic number.

336227436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336227436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452652200).

336227436 is an abundant number, since it is smaller than the sum of its proper divisors (569076964).

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

336227436 is a wasteful number, since it uses less digits than its factorization.

336227436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9391 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 336227436 is about 18336.5055558577. The cubic root of 336227436 is about 695.3621534386.

The spelling of 336227436 in words is "three hundred thirty-six million, two hundred twenty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1998 2997 3996 5994 8991 9349 11988 17982 18698 28047 35964 37396 56094 84141 112188 168282 252423 336564 345913 504846 691826 757269 1009692 1037739 1383652 1514538 2075478 2271807 3029076 3113217 4150956 4543614 6226434 9087228 9339651 12452868 18679302 28018953 37358604 56037906 84056859 112075812 168113718 336227436