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2734992 = 243313487
BaseRepresentation
bin1010011011101110010000
312010221201000
422123232100
51200004432
6134342000
732150511
oct12335620
95127630
102734992
1115a8927
12aba900
13749b50
14512a08
1539057c
hex29bb90

2734992 has 80 divisors (see below), whose sum is σ = 8471680. Its totient is φ = 839808.

The previous prime is 2734981. The next prime is 2735009. The reversal of 2734992 is 2994372.

2734992 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 (36).

It is an unprimeable number.

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, 5373 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (105896).

22734992 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 2734992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235840).

2734992 is an abundant number, since it is smaller than the sum of its proper divisors (5736688).

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

2734992 is a wasteful number, since it uses less digits than its factorization.

2734992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2734992 is about 1653.7811221561. The cubic root of 2734992 is about 139.8466347761.

It can be divided in two parts, 27 and 34992, that multiplied together give a square (944784 = 9722).

The spelling of 2734992 in words is "two million, seven hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 487 624 702 936 974 1404 1461 1872 1948 2808 2922 3896 4383 5616 5844 6331 7792 8766 11688 12662 13149 17532 18993 23376 25324 26298 35064 37986 50648 52596 56979 70128 75972 101296 105192 113958 151944 170937 210384 227916 303888 341874 455832 683748 911664 1367496 2734992