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1348012344 = 233725931933
BaseRepresentation
bin101000001011001…
…0000100100111000
310110221112010022010
41100112100210320
510230042343334
6341432325520
745255626100
oct12026204470
93427463263
101348012344
11631a10698
123175438a0
13186378753
14cb05c200
157d5260e9
hex50590938

1348012344 has 96 divisors (see below), whose sum is σ = 3928882320. Its totient is φ = 384297984.

The previous prime is 1348012327. The next prime is 1348012403. The reversal of 1348012344 is 4432108431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696402 + ... + 698334.

Almost surely, 21348012344 is an apocalyptic number.

1348012344 is a gapful number since it is divisible by the number (14) 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 1348012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964441160).

1348012344 is an abundant number, since it is smaller than the sum of its proper divisors (2580869976).

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

1348012344 is a wasteful number, since it uses less digits than its factorization.

1348012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1348012344 is about 36715.2876061185. The cubic root of 1348012344 is about 1104.6667692937. Note that the first 3 decimals are identical.

The spelling of 1348012344 in words is "one billion, three hundred forty-eight million, twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 593 1176 1186 1779 1933 2372 3558 3866 4151 4744 5799 7116 7732 8302 11598 12453 13531 14232 15464 16604 23196 24906 27062 29057 33208 40593 46392 49812 54124 58114 81186 87171 94717 99624 108248 116228 162372 174342 189434 232456 284151 324744 348684 378868 568302 697368 757736 1136604 1146269 2273208 2292538 3438807 4585076 6877614 8023883 9170152 13755228 16047766 24071649 27510456 32095532 48143298 56167181 64191064 96286596 112334362 168501543 192573192 224668724 337003086 449337448 674006172 1348012344