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340379226 = 233114011429
BaseRepresentation
bin10100010010011…
…100011001011010
3212201111001112000
4110102130121122
51144114113401
653435301430
711302114155
oct2422343132
9781431460
10340379226
11165153a50
1295baa876
1355698135
14332c4c9c
151ed38186
hex1449c65a

340379226 has 64 divisors (see below), whose sum is σ = 827798400. Its totient is φ = 102816000.

The previous prime is 340379203. The next prime is 340379227. The reversal of 340379226 is 622973043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340379227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 237480 + ... + 238908.

It is an arithmetic number, because the mean of its divisors is an integer number (12934350).

Almost surely, 2340379226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340379226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413899200).

340379226 is an abundant number, since it is smaller than the sum of its proper divisors (487419174).

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

340379226 is a wasteful number, since it uses less digits than its factorization.

340379226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 340379226 is about 18449.3692575112. The cubic root of 340379226 is about 698.2126004328.

The spelling of 340379226 in words is "three hundred forty million, three hundred seventy-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 401 594 802 1203 1429 2406 2858 3609 4287 4411 7218 8574 8822 10827 12861 13233 15719 21654 25722 26466 31438 38583 39699 47157 77166 79398 94314 119097 141471 238194 282942 424413 573029 848826 1146058 1719087 3438174 5157261 6303319 10314522 12606638 15471783 18909957 30943566 37819914 56729871 113459742 170189613 340379226