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40336164 = 223311191787
BaseRepresentation
bin1001100111011…
…1101100100100
32210220021211000
42121313230210
540311224124
64000313300
7666565101
oct231675444
983807730
1040336164
1120850180
1211612830
13848386b
1454ddaa8
15381b6c9
hex2677b24

40336164 has 96 divisors (see below), whose sum is σ = 120153600. Its totient is φ = 11573280.

The previous prime is 40336159. The next prime is 40336171. The reversal of 40336164 is 46163304.

40336164 is a `hidden beast` number, since 40 + 3 + 3 + 616 + 4 = 666.

It is a super-2 number, since 2×403361642 = 3254012252469792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21679 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (1251600).

Almost surely, 240336164 is an apocalyptic number.

40336164 is a gapful number since it is divisible by the number (44) 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 40336164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60076800).

40336164 is an abundant number, since it is smaller than the sum of its proper divisors (79817436).

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

40336164 is a wasteful number, since it uses less digits than its factorization.

40336164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 40336164 is about 6351.0758143798. The cubic root of 40336164 is about 342.9505718596.

Adding to 40336164 its reverse (46163304), we get a palindrome (86499468).

The spelling of 40336164 in words is "forty million, three hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1787 1881 2052 2508 3574 3762 5361 5643 7148 7524 10722 11286 16083 19657 21444 22572 32166 33953 39314 48249 58971 64332 67906 78628 96498 101859 117942 135812 176913 192996 203718 235884 305577 353826 373483 407436 530739 611154 707652 746966 916731 1061478 1120449 1222308 1493932 1833462 2122956 2240898 3361347 3666924 4481796 6722694 10084041 13445388 20168082 40336164