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2730964984 = 2311234093299
BaseRepresentation
bin1010001011000111…
…0011011111111000
321001022210101200021
42202301303133320
521043111334414
61130554020224
7124450551016
oct24261633770
97038711607
102730964984
111181616460
12642717674
13346a38a17
141bc9b38b6
1510eb4ec24
hexa2c737f8

2730964984 has 64 divisors (see below), whose sum is σ = 5844960000. Its totient is φ = 1184113920.

The previous prime is 2730964963. The next prime is 2730965021. The reversal of 2730964984 is 4894690372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826167 + ... + 829465.

It is an arithmetic number, because the mean of its divisors is an integer number (91327500).

Almost surely, 22730964984 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 2730964984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922480000).

2730964984 is an abundant number, since it is smaller than the sum of its proper divisors (3113995016).

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

2730964984 is a wasteful number, since it uses less digits than its factorization.

2730964984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 2730964984 is about 52258.6354969205. The cubic root of 2730964984 is about 1397.7796409814.

The spelling of 2730964984 in words is "two billion, seven hundred thirty million, nine hundred sixty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 409 506 818 1012 1636 2024 3272 3299 4499 6598 8998 9407 13196 17996 18814 26392 35992 36289 37628 72578 75256 75877 103477 145156 151754 206954 290312 303508 413908 607016 827816 834647 1349291 1669294 2698582 3338588 5397164 6677176 10794328 14842201 29684402 31033693 59368804 62067386 118737608 124134772 248269544 341370623 682741246 1365482492 2730964984