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1140434320 = 24547303307
BaseRepresentation
bin100001111111001…
…1010010110010000
32221110221001210011
41003332122112100
54313422344240
6305055244304
740155350254
oct10376322620
92843831704
101140434320
11535822203
12279b19694
1315236a10c
14ab666264
156a1c16ea
hex43f9a590

1140434320 has 40 divisors (see below), whose sum is σ = 2707933824. Its totient is φ = 446466432.

The previous prime is 1140434291. The next prime is 1140434327. The reversal of 1140434320 is 234340411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1140434291 and 1140434300.

It is not an unprimeable number, because it can be changed into a prime (1140434327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147894 + ... + 155413.

Almost surely, 21140434320 is an apocalyptic number.

1140434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140434320 is an abundant number, since it is smaller than the sum of its proper divisors (1567499504).

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

1140434320 is a wasteful number, since it uses less digits than its factorization.

1140434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303367 (or 303361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1140434320 is about 33770.3171439061. The cubic root of 1140434320 is about 1044.7765736481.

Adding to 1140434320 its reverse (234340411), we get a palindrome (1374774731).

The spelling of 1140434320 in words is "one billion, one hundred forty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 303307 606614 1213228 1516535 2426456 3033070 4852912 6066140 12132280 14255429 24264560 28510858 57021716 71277145 114043432 142554290 228086864 285108580 570217160 1140434320