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40346040 = 23357431117
BaseRepresentation
bin1001100111101…
…0000110111000
32210220210100210
42121322012320
540312033130
64000431120
7666635640
oct231720670
983823323
1040346040
1120857639
12116184a0
1384881c7
145503520
15381e5b0
hex267a1b8

40346040 has 128 divisors (see below), whose sum is σ = 141672960. Its totient is φ = 8999424.

The previous prime is 40346039. The next prime is 40346057. The reversal of 40346040 is 4064304.

40346040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40345998 and 40346016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35562 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (1106820).

Almost surely, 240346040 is an apocalyptic number.

40346040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70836480).

40346040 is an abundant number, since it is smaller than the sum of its proper divisors (101326920).

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

40346040 is a wasteful number, since it uses less digits than its factorization.

40346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40346040 is about 6351.8532728645. The cubic root of 40346040 is about 342.9785591802.

The spelling of 40346040 in words is "forty million, three hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1117 1204 1290 1505 1720 1806 2234 2408 2580 3010 3351 3612 4468 4515 5160 5585 6020 6702 7224 7819 8936 9030 11170 12040 13404 15638 16755 18060 22340 23457 26808 31276 33510 36120 39095 44680 46914 48031 62552 67020 78190 93828 96062 117285 134040 144093 156380 187656 192124 234570 240155 288186 312760 336217 384248 469140 480310 576372 672434 720465 938280 960620 1008651 1152744 1344868 1440930 1681085 1921240 2017302 2689736 2881860 3362170 4034604 5043255 5763720 6724340 8069208 10086510 13448680 20173020 40346040