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1348923400 = 2352112921143
BaseRepresentation
bin101000001100110…
…1111000000001000
310111000020102000221
41100121233000020
510230311022100
6341504035424
745266442166
oct12031570010
93430212027
101348923400
11632483130
12317902b74
13186607336
14cb218236
157d65601a
hex5066f008

1348923400 has 96 divisors (see below), whose sum is σ = 3539505600. Its totient is φ = 473580800.

The previous prime is 1348923397. The next prime is 1348923413. The reversal of 1348923400 is 43298431.

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, 53229 + ... + 74371.

It is an arithmetic number, because the mean of its divisors is an integer number (36869850).

Almost surely, 21348923400 is an apocalyptic number.

1348923400 is a gapful number since it is divisible by the number (10) 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 1348923400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769752800).

1348923400 is an abundant number, since it is smaller than the sum of its proper divisors (2190582200).

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

1348923400 is a wasteful number, since it uses less digits than its factorization.

1348923400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21199 (or 21190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1348923400 is about 36727.6925493557. The cubic root of 1348923400 is about 1104.9155767692.

The spelling of 1348923400 in words is "one billion, three hundred forty-eight million, nine hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 21143 31900 42286 63800 84572 105715 169144 211430 232573 422860 465146 528575 613147 845720 930292 1057150 1162865 1226294 1860584 2114300 2325730 2452588 3065735 4228600 4651460 4905176 5814325 6131470 6744617 9302920 11628650 12262940 13489234 15328675 23257300 24525880 26978468 30657350 33723085 46514600 53956936 61314700 67446170 122629400 134892340 168615425 269784680 337230850 674461700 1348923400