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40669344 = 2533103457
BaseRepresentation
bin1001101100100…
…1000010100000
32211112012212000
42123021002200
540402404334
64011404000
71002453342
oct233110240
984465760
1040669344
1120a58531
1211753600
13856c401
145589292
153885299
hex26c90a0

40669344 has 96 divisors (see below), whose sum is σ = 120032640. Its totient is φ = 13395456.

The previous prime is 40669333. The next prime is 40669361. The reversal of 40669344 is 44396604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40669299 and 40669308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88764 + ... + 89220.

It is an arithmetic number, because the mean of its divisors is an integer number (1250340).

Almost surely, 240669344 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 40669344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60016320).

40669344 is an abundant number, since it is smaller than the sum of its proper divisors (79363296).

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

40669344 is a wasteful number, since it uses less digits than its factorization.

40669344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 40669344 is about 6377.2520727975. The cubic root of 40669344 is about 343.8922503711.

The spelling of 40669344 in words is "forty million, six hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 412 432 457 618 824 864 914 927 1236 1371 1648 1828 1854 2472 2742 2781 3296 3656 3708 4113 4944 5484 5562 7312 7416 8226 9888 10968 11124 12339 14624 14832 16452 21936 22248 24678 29664 32904 43872 44496 47071 49356 65808 88992 94142 98712 131616 141213 188284 197424 282426 376568 394848 423639 564852 753136 847278 1129704 1270917 1506272 1694556 2259408 2541834 3389112 4518816 5083668 6778224 10167336 13556448 20334672 40669344