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340854516 = 2232291632003
BaseRepresentation
bin10100010100010…
…000011011110100
3212202101012111100
4110110100123310
51144224321031
653453410100
711306133642
oct2424203364
9782335440
10340854516
11165449052
1296199930
1355803582
14333aa192
151edcdde6
hex145106f4

340854516 has 72 divisors (see below), whose sum is σ = 897230880. Its totient is φ = 108972864.

The previous prime is 340854499. The next prime is 340854557. The reversal of 340854516 is 615458043.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169171 + ... + 171173.

It is an arithmetic number, because the mean of its divisors is an integer number (12461540).

Almost surely, 2340854516 is an apocalyptic number.

340854516 is a gapful number since it is divisible by the number (36) 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 340854516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448615440).

340854516 is an abundant number, since it is smaller than the sum of its proper divisors (556376364).

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

340854516 is a wasteful number, since it uses less digits than its factorization.

340854516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 340854516 is about 18462.2456922228. The cubic root of 340854516 is about 698.5374333442.

The spelling of 340854516 in words is "three hundred forty million, eight hundred fifty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 163 174 261 326 348 489 522 652 978 1044 1467 1956 2003 2934 4006 4727 5868 6009 8012 9454 12018 14181 18027 18908 24036 28362 36054 42543 56724 58087 72108 85086 116174 170172 174261 232348 326489 348522 522783 652978 697044 979467 1045566 1305956 1958934 2091132 2938401 3917868 5876802 9468181 11753604 18936362 28404543 37872724 56809086 85213629 113618172 170427258 340854516