Search a number
-
+
2354741028 = 2232314153971
BaseRepresentation
bin1000110001011010…
…0111111100100100
320002002212020102200
42030112213330210
514310303203103
61025354134500
7112231653123
oct21426477444
96062766380
102354741028
11aa920a872
12558721430
132b6b004b3
14184a3baba
15dbad60a3
hex8c5a7f24

2354741028 has 144 divisors (see below), whose sum is σ = 6419492352. Its totient is φ = 726336000.

The previous prime is 2354740991. The next prime is 2354741089. The reversal of 2354741028 is 8201474532.

It is a happy number.

2354741028 is a `hidden beast` number, since 2 + 3 + 547 + 4 + 102 + 8 = 666.

2354741028 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2354740983 and 2354741001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424583 + ... + 2425553.

It is an arithmetic number, because the mean of its divisors is an integer number (44579808).

Almost surely, 22354741028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354741028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209746176).

2354741028 is an abundant number, since it is smaller than the sum of its proper divisors (4064751324).

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

2354741028 is a wasteful number, since it uses less digits than its factorization.

2354741028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2354741028 is about 48525.6739056760. The cubic root of 2354741028 is about 1330.3963670608.

The spelling of 2354741028 in words is "two billion, three hundred fifty-four million, seven hundred forty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 53 62 82 93 106 123 124 159 164 186 212 246 279 318 369 372 477 492 558 636 738 954 971 1116 1271 1476 1643 1908 1942 2173 2542 2913 3286 3813 3884 4346 4929 5084 5826 6519 6572 7626 8692 8739 9858 11439 11652 13038 14787 15252 17478 19557 19716 22878 26076 29574 30101 34956 39114 39811 45756 51463 59148 60202 67363 78228 79622 90303 102926 119433 120404 134726 154389 159244 180606 202089 205852 238866 269452 270909 308778 358299 361212 404178 463167 477732 541818 606267 617556 716598 808356 926334 1083636 1212534 1234141 1433196 1595353 1852668 2109983 2425068 2468282 3190706 3702423 4219966 4786059 4936564 6329949 6381412 7404846 8439932 9572118 11107269 12659898 14358177 14809692 18989847 19144236 22214538 25319796 28716354 37979694 44429076 57432708 65409473 75959388 130818946 196228419 261637892 392456838 588685257 784913676 1177370514 2354741028