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1331400336 = 243710213881
BaseRepresentation
bin100111101011011…
…1000111010010000
310102210021010220120
41033112320322100
510211314302321
6340040310240
744664500430
oct11726707220
93383233816
101331400336
116235a4862
12311a72380
13182ab0466
14c8b762c0
157bd43ec6
hex4f5b8e90

1331400336 has 80 divisors (see below), whose sum is σ = 3935664768. Its totient is φ = 379929600.

The previous prime is 1331400311. The next prime is 1331400337. The reversal of 1331400336 is 6330041331.

1331400336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1331400337) 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, 341116 + ... + 344996.

Almost surely, 21331400336 is an apocalyptic number.

1331400336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1331400336 is an abundant number, since it is smaller than the sum of its proper divisors (2604264432).

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

1331400336 is a wasteful number, since it uses less digits than its factorization.

1331400336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 1331400336 is about 36488.3589107540. The cubic root of 1331400336 is about 1100.1102743441.

Adding to 1331400336 its reverse (6330041331), we get a palindrome (7661441667).

The spelling of 1331400336 in words is "one billion, three hundred thirty-one million, four hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1021 2042 3063 3881 4084 6126 7147 7762 8168 11643 12252 14294 15524 16336 21441 23286 24504 27167 28588 31048 42882 46572 49008 54334 57176 62096 81501 85764 93144 108668 114352 163002 171528 186288 217336 326004 343056 434672 652008 1304016 3962501 7925002 11887503 15850004 23775006 27737507 31700008 47550012 55475014 63400016 83212521 95100024 110950028 166425042 190200048 221900056 332850084 443800112 665700168 1331400336