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1347919872 = 2133134219
BaseRepresentation
bin101000001010111…
…1010000000000000
310110221100102110020
41100111322000000
510230031413442
6341430333440
745255062355
oct12025720000
93427312406
101347919872
11631958172
123174ba280
13186345630
14cb03662c
157d5089ec
hex5057a000

1347919872 has 112 divisors (see below), whose sum is σ = 3871630560. Its totient is φ = 414646272.

The previous prime is 1347919849. The next prime is 1347919873. The reversal of 1347919872 is 2789197431.

It is not an unprimeable number, because it can be changed into a prime (1347919873) 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, 317379 + ... + 321597.

It is an arithmetic number, because the mean of its divisors is an integer number (34568130).

Almost surely, 21347919872 is an apocalyptic number.

1347919872 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 1347919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935815280).

1347919872 is an abundant number, since it is smaller than the sum of its proper divisors (2523710688).

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

1347919872 is an equidigital number, since it uses as much as digits as its factorization.

1347919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4237 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 1347919872 is about 36714.0282725827. The cubic root of 1347919872 is about 1104.6415091191.

The spelling of 1347919872 in words is "one billion, three hundred forty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4219 4992 6144 6656 8192 8438 9984 12288 12657 13312 16876 19968 24576 25314 26624 33752 39936 50628 53248 54847 67504 79872 101256 106496 109694 135008 159744 164541 202512 219388 270016 319488 329082 405024 438776 540032 658164 810048 877552 1080064 1316328 1620096 1755104 2160128 2632656 3240192 3510208 4320256 5265312 6480384 7020416 8640512 10530624 12960768 14040832 17281024 21061248 25921536 28081664 34562048 42122496 51843072 56163328 84244992 103686144 112326656 168489984 224653312 336979968 449306624 673959936 1347919872