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40034304 = 21333181
BaseRepresentation
bin1001100010111…
…0000000000000
32210022221202000
42120232000000
540222044204
63550024000
7664200042
oct230560000
983287660
1040034304
1120664402
12114a8000
1383a934b
145461a92
1537ac039
hex262e000

40034304 has 112 divisors (see below), whose sum is σ = 119268240. Its totient is φ = 13271040.

The previous prime is 40034287. The next prime is 40034317. The reversal of 40034304 is 40343004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221094 + ... + 221274.

It is an arithmetic number, because the mean of its divisors is an integer number (1064895).

Almost surely, 240034304 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 40034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59634120).

40034304 is an abundant number, since it is smaller than the sum of its proper divisors (79233936).

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

40034304 is an equidigital number, since it uses as much as digits as its factorization.

40034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40034304 is about 6327.2667084611. The cubic root of 40034304 is about 342.0929264257.

Adding to 40034304 its reverse (40343004), we get a palindrome (80377308).

The spelling of 40034304 in words is "forty million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 256 288 362 384 432 512 543 576 724 768 864 1024 1086 1152 1448 1536 1629 1728 2048 2172 2304 2896 3072 3258 3456 4096 4344 4608 4887 5792 6144 6516 6912 8192 8688 9216 9774 11584 12288 13032 13824 17376 18432 19548 23168 24576 26064 27648 34752 36864 39096 46336 52128 55296 69504 73728 78192 92672 104256 110592 139008 156384 185344 208512 221184 278016 312768 370688 417024 556032 625536 741376 834048 1112064 1251072 1482752 1668096 2224128 2502144 3336192 4448256 5004288 6672384 10008576 13344768 20017152 40034304