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1344471100 = 225273535441
BaseRepresentation
bin101000000100011…
…0000000000111100
310110200212012121221
41100020300000330
510223141033400
6341224403124
745213546550
oct12010600074
93420765557
101344471100
1162aa12045
123163164a4
1318570893b
14ca7b9860
157d076c1a
hex5023003c

1344471100 has 72 divisors (see below), whose sum is σ = 3344348448. Its totient is φ = 459571200.

The previous prime is 1344471097. The next prime is 1344471151. The reversal of 1344471100 is 11744431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244380 + ... + 249820.

It is an arithmetic number, because the mean of its divisors is an integer number (46449284).

Almost surely, 21344471100 is an apocalyptic number.

1344471100 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 1344471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672174224).

1344471100 is an abundant number, since it is smaller than the sum of its proper divisors (1999877348).

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

1344471100 is a wasteful number, since it uses less digits than its factorization.

1344471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1344471100 is about 36667.0301497135. The cubic root of 1344471100 is about 1103.6985968767.

The spelling of 1344471100 in words is "one billion, three hundred forty-four million, four hundred seventy-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 353 700 706 1412 1765 2471 3530 4942 5441 7060 8825 9884 10882 12355 17650 21764 24710 27205 35300 38087 49420 54410 61775 76174 108820 123550 136025 152348 190435 247100 272050 380870 544100 761740 952175 1904350 1920673 3808700 3841346 7682692 9603365 13444711 19206730 26889422 38413460 48016825 53778844 67223555 96033650 134447110 192067300 268894220 336117775 672235550 1344471100