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2734980 = 223579577
BaseRepresentation
bin1010011011101110000100
312010221200120
422123232010
51200004410
6134341540
732150463
oct12335604
95127616
102734980
1115a8916
12aba8b0
13749b41
145129da
15390570
hex29bb84

2734980 has 48 divisors (see below), whose sum is σ = 7768320. Its totient is φ = 718848.

The previous prime is 2734969. The next prime is 2734981. The reversal of 2734980 is 894372.

2734980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2734981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4452 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (161840).

22734980 is an apocalyptic number.

2734980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884160).

2734980 is an abundant number, since it is smaller than the sum of its proper divisors (5033340).

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

2734980 is a wasteful number, since it uses less digits than its factorization.

2734980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2734980 is about 1653.7774941025. Note that the first 3 decimals coincide. The cubic root of 2734980 is about 139.8464302463.

It can be divided in two parts, 273 and 4980, that added together give a triangular number (5253 = T102).

The spelling of 2734980 in words is "two million, seven hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 577 790 948 1154 1185 1580 1731 2308 2370 2885 3462 4740 5770 6924 8655 11540 17310 34620 45583 91166 136749 182332 227915 273498 455830 546996 683745 911660 1367490 2734980