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340440320 = 2851124179
BaseRepresentation
bin10100010010101…
…011010100000000
3212201121011022202
4110102223110000
51144123042240
653440452332
711302460243
oct2422532400
9781534282
10340440320
11165195940
129601a0a8
13556b9b9c
14332dd25a
151ed4b315
hex144ab500

340440320 has 72 divisors (see below), whose sum is σ = 889630560. Its totient is φ = 123791360.

The previous prime is 340440313. The next prime is 340440323. The reversal of 340440320 is 23044043.

It is a happy number.

It is a super-2 number, since 2×3404403202 = 231799222963404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 340440292 and 340440301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340440323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1991 + ... + 26169.

It is an arithmetic number, because the mean of its divisors is an integer number (12355980).

Almost surely, 2340440320 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 340440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444815280).

340440320 is an abundant number, since it is smaller than the sum of its proper divisors (549190240).

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

340440320 is a wasteful number, since it uses less digits than its factorization.

340440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 340440320 is about 18451.0249037824. The cubic root of 340440320 is about 698.2543715374.

Adding to 340440320 its reverse (23044043), we get a palindrome (363484363).

The spelling of 340440320 in words is "three hundred forty million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 24179 48358 96716 120895 193432 241790 265969 386864 483580 531938 773728 967160 1063876 1329845 1547456 1934320 2127752 2659690 3094912 3868640 4255504 5319380 6189824 7737280 8511008 10638760 15474560 17022016 21277520 30949120 34044032 42555040 68088064 85110080 170220160 340440320