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340711728 = 24371636221
BaseRepresentation
bin10100010011101…
…101100100110000
3212202002221121220
4110103231210300
51144210233403
653450345040
711305000440
oct2423554460
9782087556
10340711728
11165360845
129612b180
1355783596
1433370120
151eda1953
hex144ed930

340711728 has 80 divisors (see below), whose sum is σ = 1012244736. Its totient is φ = 96733440.

The previous prime is 340711621. The next prime is 340711733. The reversal of 340711728 is 827117043.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51658 + ... + 57878.

Almost surely, 2340711728 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 340711728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506122368).

340711728 is an abundant number, since it is smaller than the sum of its proper divisors (671533008).

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

340711728 is a wasteful number, since it uses less digits than its factorization.

340711728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 340711728 is about 18458.3782602914. The cubic root of 340711728 is about 698.4398778483.

The spelling of 340711728 in words is "three hundred forty million, seven hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6221 6846 7824 9128 12442 13692 18256 18663 24884 27384 37326 43547 49768 54768 74652 87094 99536 130641 149304 174188 261282 298608 348376 522564 696752 1014023 1045128 2028046 2090256 3042069 4056092 6084138 7098161 8112184 12168276 14196322 16224368 21294483 24336552 28392644 42588966 48673104 56785288 85177932 113570576 170355864 340711728