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2730744 = 2332172397
BaseRepresentation
bin1010011010101011111000
312010201212200
422122223320
51144340434
6134310200
732132232
oct12325370
95121780
102730744
1115a5715
12ab8360
13747c33
14511252
1538e199
hex29aaf8

2730744 has 96 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 811008.

The previous prime is 2730743. The next prime is 2730751. The reversal of 2730744 is 4470372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28104 + ... + 28200.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

22730744 is an apocalyptic number.

2730744 is a gapful number since it is divisible by the number (24) 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 2730744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2730744 is an abundant number, since it is smaller than the sum of its proper divisors (5524776).

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

2730744 is a wasteful number, since it uses less digits than its factorization.

2730744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2730744 is about 1652.4962934905. The cubic root of 2730744 is about 139.7741938158.

It can be divided in two parts, 2730 and 744, that multiplied together give a triangular number (2031120 = T2015).

The spelling of 2730744 in words is "two million, seven hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 97 102 136 138 153 184 194 204 207 276 291 306 388 391 408 414 552 582 612 776 782 828 873 1164 1173 1224 1564 1649 1656 1746 2231 2328 2346 3128 3298 3492 3519 4462 4692 4947 6596 6693 6984 7038 8924 9384 9894 13192 13386 14076 14841 17848 19788 20079 26772 28152 29682 37927 39576 40158 53544 59364 75854 80316 113781 118728 151708 160632 227562 303416 341343 455124 682686 910248 1365372 2730744