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40430016 = 263411709
BaseRepresentation
bin1001101000111…
…0100111000000
32211002001120000
42122032213000
540322230031
64002320000
71000435524
oct232164700
984061500
1040430016
1120904740
1211659000
1384b74b3
145525d84
1538393e6
hex268e9c0

40430016 has 140 divisors (see below), whose sum is σ = 130926840. Its totient is φ = 12234240.

The previous prime is 40429993. The next prime is 40430017. The reversal of 40430016 is 61003404.

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 (40430017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56670 + ... + 57378.

Almost surely, 240430016 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 40430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463420).

40430016 is an abundant number, since it is smaller than the sum of its proper divisors (90496824).

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

40430016 is a wasteful number, since it uses less digits than its factorization.

40430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

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

The square root of 40430016 is about 6358.4601909582. The cubic root of 40430016 is about 343.2163520988.

The spelling of 40430016 in words is "forty million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 709 792 864 891 1056 1188 1296 1418 1584 1728 1782 2112 2127 2376 2592 2836 3168 3564 4254 4752 5184 5672 6336 6381 7128 7799 8508 9504 11344 12762 14256 15598 17016 19008 19143 22688 23397 25524 28512 31196 34032 38286 45376 46794 51048 57024 57429 62392 68064 70191 76572 93588 102096 114858 124784 136128 140382 153144 187176 204192 210573 229716 249568 280764 306288 374352 408384 421146 459432 499136 561528 612576 631719 748704 842292 918864 1123056 1225152 1263438 1497408 1684584 1837728 2246112 2526876 3369168 3675456 4492224 5053752 6738336 10107504 13476672 20215008 40430016