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8040334440 = 2335127527581
BaseRepresentation
bin1110111110011110…
…11100010001101000
3202202100022022100110
413133033130101220
5112431311200230
63405500134320
7403150500165
oct73717342150
922670268313
108040334440
1134566172a6
1216848373a0
139b19c5c58
14563ba706c
15320d164b0
hex1df3dc468

8040334440 has 64 divisors (see below), whose sum is σ = 24310978560. Its totient is φ = 2127202560.

The previous prime is 8040334439. The next prime is 8040334441. The reversal of 8040334440 is 444330408.

It is an interprime number because it is at equal distance from previous prime (8040334439) and next prime (8040334441).

It is a super-2 number, since 2×80403344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8040334398 and 8040334407.

It is not an unprimeable number, because it can be changed into a prime (8040334441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248551 + ... + 279030.

It is an arithmetic number, because the mean of its divisors is an integer number (379859040).

Almost surely, 28040334440 is an apocalyptic number.

It is an amenable number.

8040334440 is an abundant number, since it is smaller than the sum of its proper divisors (16270644120).

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

8040334440 is a wasteful number, since it uses less digits than its factorization.

8040334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527722 (or 527718 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 8040334440 is about 89667.9119863957. The cubic root of 8040334440 is about 2003.3555702589.

Adding to 8040334440 its reverse (444330408), we get a palindrome (8484664848).

The spelling of 8040334440 in words is "eight billion, forty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 527581 1055162 1582743 2110324 2637905 3165486 4220648 5275810 6330972 7913715 10551620 12661944 15827430 21103240 31654860 63309720 67002787 134005574 201008361 268011148 335013935 402016722 536022296 670027870 804033444 1005041805 1340055740 1608066888 2010083610 2680111480 4020167220 8040334440