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340270272 = 26321075521
BaseRepresentation
bin10100010010000…
…001110011000000
3212201021112001200
4110102001303000
51144102122042
653433101200
711301151416
oct2422016300
9781245050
10340270272
1116508a101
1295b57800
135565a674
14332972b6
151ed15c4c
hex14481cc0

340270272 has 84 divisors (see below), whose sum is σ = 984616776. Its totient is φ = 112343040.

The previous prime is 340270267. The next prime is 340270321. The reversal of 340270272 is 272072043.

340270272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58872 + ... + 64392.

Almost surely, 2340270272 is an apocalyptic number.

340270272 is a gapful number since it is divisible by the number (32) 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 340270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492308388).

340270272 is an abundant number, since it is smaller than the sum of its proper divisors (644346504).

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

340270272 is a wasteful number, since it uses less digits than its factorization.

340270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5633 counting only the distinct ones).

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

The square root of 340270272 is about 18446.4162373075. The cubic root of 340270272 is about 698.1380941487.

The spelling of 340270272 in words is "three hundred forty million, two hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 5136 5521 6848 7704 10272 11042 15408 16563 20544 22084 30816 33126 44168 49689 61632 66252 88336 99378 132504 176672 198756 265008 353344 397512 530016 590747 795024 1060032 1181494 1590048 1772241 2362988 3180096 3544482 4725976 5316723 7088964 9451952 10633446 14177928 18903904 21266892 28355856 37807808 42533784 56711712 85067568 113423424 170135136 340270272