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2729034 = 2327112179
BaseRepresentation
bin1010011010010001001010
312010122112100
422122101022
51144312114
6134254230
732124240
oct12322112
95118470
102729034
1115a4400
12ab7376
13747219
14510790
1538d909
hex29a44a

2729034 has 72 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 704880.

The previous prime is 2729029. The next prime is 2729059. The reversal of 2729034 is 4309272.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2728989 and 2729007.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15157 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

22729034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2729034 is an abundant number, since it is smaller than the sum of its proper divisors (4740246).

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

2729034 is a wasteful number, since it uses less digits than its factorization.

2729034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2729034 is about 1651.9788134235. The cubic root of 2729034 is about 139.7450120520.

The spelling of 2729034 in words is "two million, seven hundred twenty-nine thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 179 198 231 242 358 363 462 537 693 726 847 1074 1089 1253 1386 1611 1694 1969 2178 2506 2541 3222 3759 3938 5082 5907 7518 7623 11277 11814 13783 15246 17721 21659 22554 27566 35442 41349 43318 64977 82698 124047 129954 151613 194931 248094 303226 389862 454839 909678 1364517 2729034