Search a number
-
+
1394574336 = 210323892
BaseRepresentation
bin101001100011111…
…1000010000000000
310121012010201100100
41103013320100000
510324002334321
6350214322400
746362454251
oct12307702000
93535121310
101394574336
11656223381
1232b059400
13192bcc01c
14d32dcb28
1582672326
hex531f8400

1394574336 has 99 divisors (see below), whose sum is σ = 4037181421. Its totient is φ = 463663104.

The previous prime is 1394574329. The next prime is 1394574347. The reversal of 1394574336 is 6334754931.

The square root of 1394574336 is 37344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 1065369600 = 18144^2 + 32640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1394574291 and 1394574300.

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 8 ways as a sum of consecutive naturals, for example, 3584830 + ... + 3585218.

Almost surely, 21394574336 is an apocalyptic number.

1394574336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1394574336 is the 37344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1394574336

1394574336 is an abundant number, since it is smaller than the sum of its proper divisors (2642607085).

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

1394574336 is an frugal number, since it uses more digits than its factorization.

1394574336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 394 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The cubic root of 1394574336 is about 1117.2419210946.

The spelling of 1394574336 in words is "one billion, three hundred ninety-four million, five hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 389 512 576 768 778 1024 1152 1167 1536 1556 2304 2334 3072 3112 3501 4608 4668 6224 7002 9216 9336 12448 14004 18672 24896 28008 37344 49792 56016 74688 99584 112032 149376 151321 199168 224064 298752 302642 398336 448128 453963 597504 605284 896256 907926 1195008 1210568 1361889 1792512 1815852 2421136 2723778 3585024 3631704 4842272 5447556 7263408 9684544 10895112 14526816 19369088 21790224 29053632 38738176 43580448 58107264 77476352 87160896 116214528 154952704 174321792 232429056 348643584 464858112 697287168 1394574336