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2734080 = 2113589
BaseRepresentation
bin1010011011100000000000
312010220110020
422123200000
51144442310
6134333440
732145036
oct12334000
95126406
102734080
1115a8178
12aba280
137495cb
14512556
15390170
hex29b800

2734080 has 96 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 720896.

The previous prime is 2734027. The next prime is 2734097. The reversal of 2734080 is 804372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×27340803 = 61313330693799936000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2734080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30676 + ... + 30764.

22734080 is an apocalyptic number.

2734080 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 2734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

2734080 is an abundant number, since it is smaller than the sum of its proper divisors (6111120).

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

2734080 is an equidigital number, since it uses as much as digits as its factorization.

2734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2734080 is about 1653.5053673938. The cubic root of 2734080 is about 139.8310888062.

The spelling of 2734080 in words is "two million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 480 512 534 640 712 768 890 960 1024 1068 1280 1335 1424 1536 1780 1920 2048 2136 2560 2670 2848 3072 3560 3840 4272 5120 5340 5696 6144 7120 7680 8544 10240 10680 11392 14240 15360 17088 21360 22784 28480 30720 34176 42720 45568 56960 68352 85440 91136 113920 136704 170880 182272 227840 273408 341760 455680 546816 683520 911360 1367040 2734080