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2730349384 = 2372151193239
BaseRepresentation
bin1010001010111101…
…1101001101001000
321001021122010020021
42202233131031020
521042432140014
61130532510224
7124442405200
oct24257351510
97037563207
102730349384
1111812359a4
1264247b374
13346881769
141bc893400
1510ea7c624
hexa2bdd348

2730349384 has 96 divisors (see below), whose sum is σ = 6050937600. Its totient is φ = 1151539200.

The previous prime is 2730349373. The next prime is 2730349409. The reversal of 2730349384 is 4839430372.

2730349384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2730349384.

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, 11423937 + ... + 11424175.

It is an arithmetic number, because the mean of its divisors is an integer number (63030600).

Almost surely, 22730349384 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 2730349384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025468800).

2730349384 is an abundant number, since it is smaller than the sum of its proper divisors (3320588216).

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

2730349384 is a wasteful number, since it uses less digits than its factorization.

2730349384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 2730349384 is about 52252.7452293179. The cubic root of 2730349384 is about 1397.6746063368.

The spelling of 2730349384 in words is "two billion, seven hundred thirty million, three hundred forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 151 193 196 239 302 386 392 478 604 772 956 1057 1208 1351 1544 1673 1912 2114 2702 3346 4228 5404 6692 7399 8456 9457 10808 11711 13384 14798 18914 23422 29143 29596 36089 37828 46127 46844 58286 59192 72178 75656 92254 93688 116572 144356 184508 204001 233144 252623 288712 322889 369016 408002 505246 645778 816004 1010492 1291556 1428007 1632008 1768361 2020984 2260223 2583112 2856014 3536722 4520446 5712028 6965177 7073444 9040892 11424056 13930354 14146888 18081784 27860708 48756239 55721416 97512478 195024956 341293673 390049912 682587346 1365174692 2730349384