Search a number
-
+
40349312 = 271947353
BaseRepresentation
bin1001100111101…
…0111010000000
32210220221211222
42121322322000
540312134222
64000454212
7666651323
oct231727200
983827758
1040349312
112085a043
121161a368
138489843
1455047ba
153820542
hex267ae80

40349312 has 64 divisors (see below), whose sum is σ = 86659200. Its totient is φ = 18653184.

The previous prime is 40349311. The next prime is 40349339. The reversal of 40349312 is 21394304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40349311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114128 + ... + 114480.

It is an arithmetic number, because the mean of its divisors is an integer number (1354050).

Almost surely, 240349312 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 40349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43329600).

40349312 is an abundant number, since it is smaller than the sum of its proper divisors (46309888).

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

40349312 is a wasteful number, since it uses less digits than its factorization.

40349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 40349312 is about 6352.1108302674. The cubic root of 40349312 is about 342.9878306024.

The spelling of 40349312 in words is "forty million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 304 353 376 608 706 752 893 1216 1412 1504 1786 2432 2824 3008 3572 5648 6016 6707 7144 11296 13414 14288 16591 22592 26828 28576 33182 45184 53656 57152 66364 107312 114304 132728 214624 265456 315229 429248 530912 630458 858496 1061824 1260916 2123648 2521832 5043664 10087328 20174656 40349312