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1348668432 = 243229417877
BaseRepresentation
bin101000001100011…
…0000110000010000
310110222202110021200
41100120300300100
510230224342212
6341454351200
745264330636
oct12030606020
93428673250
101348668432
11632319611
123177bb500
13186548277
14cb18d356
157d6056dc
hex50630c10

1348668432 has 120 divisors (see below), whose sum is σ = 4000290840. Its totient is φ = 423413760.

The previous prime is 1348668427. The next prime is 1348668439. The reversal of 1348668432 is 2348668431.

1348668432 is a `hidden beast` number, since 134 + 86 + 6 + 8 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 1342196496 = 2544^2 + 36636^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348668439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167278 + ... + 175154.

It is an arithmetic number, because the mean of its divisors is an integer number (33335757).

Almost surely, 21348668432 is an apocalyptic number.

1348668432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348668432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000145420).

1348668432 is an abundant number, since it is smaller than the sum of its proper divisors (2651622408).

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

1348668432 is a wasteful number, since it uses less digits than its factorization.

1348668432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7952 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1348668432 is about 36724.2213259859. The cubic root of 1348668432 is about 1104.8459568371.

Subtracting 1348668432 from its reverse (2348668431), we obtain a palindrome (999999999).

It can be divided in two parts, 13486 and 68432, that added together give a palindrome (81918).

The spelling of 1348668432 in words is "one billion, three hundred forty-eight million, six hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2378 2952 3567 4176 4756 5904 7134 7877 9512 10701 14268 15754 19024 21402 23631 28536 31508 42804 47262 57072 63016 70893 85608 94524 126032 141786 171216 189048 228433 283572 322957 378096 456866 567144 645914 685299 913732 968871 1134288 1291828 1370598 1827464 1937742 2055897 2583656 2741196 2906613 3654928 3875484 4111794 5167312 5482392 5813226 7750968 8223588 9365753 10964784 11626452 15501936 16447176 18731506 23252904 28097259 32894352 37463012 46505808 56194518 74926024 84291777 112389036 149852048 168583554 224778072 337167108 449556144 674334216 1348668432