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40314330 = 2325789719
BaseRepresentation
bin1001100111001…
…0010111011010
32210212011212100
42121302113122
540310024310
64000024230
7666444330
oct231622732
983764770
1040314330
1120835831
1211602076
138476944
1454d5b50
153814ec0
hex26725da

40314330 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 9098496.

The previous prime is 40314317. The next prime is 40314341. The reversal of 40314330 is 3341304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55711 + ... + 56429.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 240314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

40314330 is an abundant number, since it is smaller than the sum of its proper divisors (80991270).

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

40314330 is a wasteful number, since it uses less digits than its factorization.

40314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40314330 is about 6349.3566603239. The cubic root of 40314330 is about 342.8886808786. Note that the first 3 decimals are identical.

Adding to 40314330 its reverse (3341304), we get a palindrome (43655634).

The spelling of 40314330 in words is "forty million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 89 90 105 126 178 210 267 315 445 534 623 630 719 801 890 1246 1335 1438 1602 1869 2157 2670 3115 3595 3738 4005 4314 5033 5607 6230 6471 7190 8010 9345 10066 10785 11214 12942 15099 18690 21570 25165 28035 30198 32355 45297 50330 56070 63991 64710 75495 90594 127982 150990 191973 226485 319955 383946 447937 452970 575919 639910 895874 959865 1151838 1343811 1919730 2239685 2687622 2879595 4031433 4479370 5759190 6719055 8062866 13438110 20157165 40314330