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1067340040 = 235132052577
BaseRepresentation
bin111111100111100…
…101000100001000
32202101101111021121
4333213211010020
54141214340130
6253524445024
735310145354
oct7747450410
92671344247
101067340040
114a8538408
12259549774
13140187070
14a1a7a464
1563a83d7a
hex3f9e5108

1067340040 has 32 divisors (see below), whose sum is σ = 2586248280. Its totient is φ = 394094592.

The previous prime is 1067340017. The next prime is 1067340059. The reversal of 1067340040 is 400437601.

1067340040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 777182884 + 290157156 = 27878^2 + 17034^2 .

It is a super-2 number, since 2×10673400402 = 2278429521974403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067339987 and 1067340014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025769 + ... + 1026808.

Almost surely, 21067340040 is an apocalyptic number.

1067340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067340040 is an abundant number, since it is smaller than the sum of its proper divisors (1518908240).

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

1067340040 is a wasteful number, since it uses less digits than its factorization.

1067340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052601 (or 2052597 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1067340040 is about 32670.1704923620. The cubic root of 1067340040 is about 1021.9608697709.

Adding to 1067340040 its reverse (400437601), we get a palindrome (1467777641).

The spelling of 1067340040 in words is "one billion, sixty-seven million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2052577 4105154 8210308 10262885 16420616 20525770 26683501 41051540 53367002 82103080 106734004 133417505 213468008 266835010 533670020 1067340040