Search a number
-
+
40514304 = 28371743
BaseRepresentation
bin1001101010001…
…1001100000000
32211020100011210
42122203030000
540332424204
64004210120
71001236335
oct232431400
984210153
1040514304
1120961aa6
1211699940
13851697c
14554898c
153854389
hex26a3300

40514304 has 72 divisors (see below), whose sum is σ = 109492992. Its totient is φ = 13296640.

The previous prime is 40514291. The next prime is 40514317. The reversal of 40514304 is 40341504.

It is an interprime number because it is at equal distance from previous prime (40514291) and next prime (40514317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54157 + ... + 54899.

It is an arithmetic number, because the mean of its divisors is an integer number (1520736).

Almost surely, 240514304 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 40514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496).

40514304 is an abundant number, since it is smaller than the sum of its proper divisors (68978688).

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

40514304 is an equidigital number, since it uses as much as digits as its factorization.

40514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40514304 is about 6365.0847598441. The cubic root of 40514304 is about 343.4546976184.

Adding to 40514304 its reverse (40341504), we get a palindrome (80855808).

The spelling of 40514304 in words is "forty million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 743 768 852 1136 1486 1704 2229 2272 2972 3408 4458 4544 5944 6816 8916 9088 11888 13632 17832 18176 23776 27264 35664 47552 52753 54528 71328 95104 105506 142656 158259 190208 211012 285312 316518 422024 570624 633036 844048 1266072 1688096 2532144 3376192 5064288 6752384 10128576 13504768 20257152 40514304