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40311040 = 285711409
BaseRepresentation
bin1001100111000…
…1100100000000
32210212000100111
42121301210000
540304423130
64000001104
7666431620
oct231614400
983760314
1040311040
1120833310
1211600194
1384752b3
1454d4880
15381402a
hex2671900

40311040 has 144 divisors (see below), whose sum is σ = 120677760. Its totient is φ = 12533760.

The previous prime is 40311023. The next prime is 40311043. The reversal of 40311040 is 4011304.

It is a self number, because there is not a number n which added to its sum of digits gives 40311040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40311043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98356 + ... + 98764.

It is an arithmetic number, because the mean of its divisors is an integer number (838040).

Almost surely, 240311040 is an apocalyptic number.

40311040 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 40311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338880).

40311040 is an abundant number, since it is smaller than the sum of its proper divisors (80366720).

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

40311040 is a wasteful number, since it uses less digits than its factorization.

40311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40311040 is about 6349.0975736714. The cubic root of 40311040 is about 342.8793530586.

Adding to 40311040 its reverse (4011304), we get a palindrome (44322344).

The spelling of 40311040 in words is "forty million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 409 440 448 560 616 640 704 770 818 880 896 1120 1232 1280 1408 1540 1636 1760 1792 2045 2240 2464 2816 2863 3080 3272 3520 4090 4480 4499 4928 5726 6160 6544 7040 8180 8960 8998 9856 11452 12320 13088 14080 14315 16360 17996 19712 22495 22904 24640 26176 28630 31493 32720 35992 44990 45808 49280 52352 57260 62986 65440 71984 89980 91616 98560 104704 114520 125972 130880 143968 157465 179960 183232 229040 251944 261760 287936 314930 359920 366464 458080 503888 523520 575872 629860 719840 732928 916160 1007776 1151744 1259720 1439680 1832320 2015552 2519440 2879360 3664640 4031104 5038880 5758720 8062208 10077760 20155520 40311040