Search a number
-
+
1356204430 = 257232931937
BaseRepresentation
bin101000011010110…
…0000100110001110
310111111221022201201
41100311200212032
510234142020210
6342324100114
745415355530
oct12065404616
93444838651
101356204430
116365a6509
1231a23463a
13187c86439
14cc191850
157e0e353a
hex50d6098e

1356204430 has 128 divisors (see below), whose sum is σ = 3112058880. Its totient is φ = 415134720.

The previous prime is 1356204413. The next prime is 1356204431. The reversal of 1356204430 is 344026531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356204431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446922 + ... + 1447858.

It is an arithmetic number, because the mean of its divisors is an integer number (24312960).

Almost surely, 21356204430 is an apocalyptic number.

1356204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1356204430 is an abundant number, since it is smaller than the sum of its proper divisors (1755854450).

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

1356204430 is a wasteful number, since it uses less digits than its factorization.

1356204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1356204430 is about 36826.6809528092. The cubic root of 1356204430 is about 1106.8999968689.

The spelling of 1356204430 in words is "one billion, three hundred fifty-six million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 29 31 35 46 58 62 70 115 145 155 161 203 217 230 290 310 322 406 434 667 713 805 899 937 1015 1085 1334 1426 1610 1798 1874 2030 2170 3335 3565 4495 4669 4685 4991 6293 6559 6670 7130 8990 9338 9370 9982 12586 13118 20677 21551 23345 24955 27173 29047 31465 32795 41354 43102 46690 49910 54346 58094 62930 65590 103385 107755 135865 144739 145235 150857 190211 203329 206770 215510 271730 289478 290470 301714 380422 406658 624979 668081 723695 754285 842363 951055 1016645 1249958 1336162 1447390 1508570 1684726 1902110 2033290 3124895 3340405 4211815 4374853 4676567 5896541 6249790 6680810 8423630 8749706 9353134 11793082 19374349 21874265 23382835 29482705 38748698 43748530 46765670 58965410 96871745 135620443 193743490 271240886 678102215 1356204430