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40345074 = 23371131313
BaseRepresentation
bin1001100111100…
…1110111110010
32210220202001000
42121321313302
540312020244
64000422430
7666633060
oct231716762
983822030
1040345074
1120856940
1211617a16
138487933
145503030
15381e169
hex2679df2

40345074 has 128 divisors (see below), whose sum is σ = 115752960. Its totient is φ = 10108800.

The previous prime is 40345057. The next prime is 40345093. The reversal of 40345074 is 47054304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128742 + ... + 129054.

It is an arithmetic number, because the mean of its divisors is an integer number (904320).

Almost surely, 240345074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40345074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57876480).

40345074 is an abundant number, since it is smaller than the sum of its proper divisors (75407886).

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

40345074 is a wasteful number, since it uses less digits than its factorization.

40345074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40345074 is about 6351.7772316101. Note that the first 3 decimals coincide. The cubic root of 40345074 is about 342.9758218613.

Adding to 40345074 its reverse (47054304), we get a palindrome (87399378).

The spelling of 40345074 in words is "forty million, three hundred forty-five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 93 99 126 154 186 189 198 217 231 279 297 313 341 378 434 462 558 594 626 651 682 693 837 939 1023 1302 1386 1674 1878 1953 2046 2079 2191 2387 2817 3069 3443 3906 4158 4382 4774 5634 5859 6138 6573 6886 7161 8451 9207 9703 10329 11718 13146 14322 16902 18414 19406 19719 20658 21483 24101 29109 30987 39438 42966 48202 58218 59157 61974 64449 67921 72303 87327 92961 106733 118314 128898 135842 144606 174654 185922 203763 213466 216909 261981 320199 407526 433818 523962 611289 640398 650727 747131 960597 1222578 1301454 1494262 1833867 1921194 2241393 2881791 3667734 4482786 5763582 6724179 13448358 20172537 40345074