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40341312 = 2632116367
BaseRepresentation
bin1001100111100…
…0111101000000
32210220112212200
42121320331000
540311410222
64000353200
7666616104
oct231707500
983815780
1040341312
1120854030
1211615800
138485ccb
145501904
15381ceac
hex2678f40

40341312 has 84 divisors (see below), whose sum is σ = 126162816. Its totient is φ = 12222720.

The previous prime is 40341299. The next prime is 40341317. The reversal of 40341312 is 21314304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40341317) 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, 3153 + ... + 9519.

Almost surely, 240341312 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 40341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081408).

40341312 is an abundant number, since it is smaller than the sum of its proper divisors (85821504).

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

40341312 is a wasteful number, since it uses less digits than its factorization.

40341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40341312 is about 6351.4810871166. The cubic root of 40341312 is about 342.9651612030.

Adding to 40341312 its reverse (21314304), we get a palindrome (61655616).

The spelling of 40341312 in words is "forty million, three hundred forty-one thousand, three hundred twelve".

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 6367 12734 19101 25468 38202 50936 57303 70037 76404 101872 114606 140074 152808 203744 210111 229212 280148 305616 407488 420222 458424 560296 611232 630333 840444 916848 1120592 1222464 1260666 1680888 1833696 2241184 2521332 3361776 3667392 4482368 5042664 6723552 10085328 13447104 20170656 40341312