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2730948 = 22311171217
BaseRepresentation
bin1010011010101111000100
312010202011020
422122233010
51144342243
6134311140
732132643
oct12325704
95122136
102730948
1115a5890
12ab84b0
1374805c
1451135a
1538e283
hex29abc4

2730948 has 48 divisors (see below), whose sum is σ = 7366464. Its totient is φ = 778240.

The previous prime is 2730947. The next prime is 2730953. The reversal of 2730948 is 8490372.

2730948 is digitally balanced in base 2, because in such base 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 (33).

It is not an unprimeable number, because it can be changed into a prime (2730947) 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, 1636 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (153468).

22730948 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 2730948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683232).

2730948 is an abundant number, since it is smaller than the sum of its proper divisors (4635516).

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

2730948 is a wasteful number, since it uses less digits than its factorization.

2730948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

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

The square root of 2730948 is about 1652.5580171359. The cubic root of 2730948 is about 139.7776743356. Note that the first 3 decimals are identical.

The spelling of 2730948 in words is "two million, seven hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1217 2244 2434 3651 4868 7302 13387 14604 20689 26774 40161 41378 53548 62067 80322 82756 124134 160644 227579 248268 455158 682737 910316 1365474 2730948