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40304664 = 23322997199
BaseRepresentation
bin1001100111000…
…0000000011000
32210211200121100
42121300000120
540304222124
63555511400
7666404211
oct231600030
983750540
1040304664
1120829544
12115b8560
13847241a
1454d2408
1538121c9
hex2670018

40304664 has 96 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 12773376.

The previous prime is 40304659. The next prime is 40304669. The reversal of 40304664 is 46640304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40304659) and next prime (40304669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304669) 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, 202437 + ... + 202635.

It is an arithmetic number, because the mean of its divisors is an integer number (1194375).

Almost surely, 240304664 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 40304664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

40304664 is an abundant number, since it is smaller than the sum of its proper divisors (74355336).

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

40304664 is a wasteful number, since it uses less digits than its factorization.

40304664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40304664 is about 6348.5954352124. The cubic root of 40304664 is about 342.8612743550.

Adding to 40304664 its reverse (46640304), we get a palindrome (86944968).

It can be divided in two parts, 40 and 304664, that added together give a square (304704 = 5522).

The spelling of 40304664 in words is "forty million, three hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 97 116 174 194 199 232 261 291 348 388 398 522 582 597 696 776 796 873 1044 1164 1194 1592 1746 1791 2088 2328 2388 2813 3492 3582 4776 5626 5771 6984 7164 8439 11252 11542 14328 16878 17313 19303 22504 23084 25317 33756 34626 38606 46168 50634 51939 57909 67512 69252 77212 101268 103878 115818 138504 154424 173727 202536 207756 231636 347454 415512 463272 559787 694908 1119574 1389816 1679361 2239148 3358722 4478296 5038083 6717444 10076166 13434888 20152332 40304664