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340165540 = 2251113831433
BaseRepresentation
bin10100010001101…
…000001110100100
3212201002012101201
4110101220032210
51144040244130
653430532244
711300234161
oct2421501644
9781065351
10340165540
11165018450
1295b07084
1355621ab0
143326b068
151ece4bca
hex144683a4

340165540 has 96 divisors (see below), whose sum is σ = 849937536. Its totient is φ = 112727040.

The previous prime is 340165537. The next prime is 340165559. The reversal of 340165540 is 45561043.

340165540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340165499 and 340165508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236664 + ... + 238096.

It is an arithmetic number, because the mean of its divisors is an integer number (8853516).

Almost surely, 2340165540 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 340165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424968768).

340165540 is an abundant number, since it is smaller than the sum of its proper divisors (509771996).

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

340165540 is a wasteful number, since it uses less digits than its factorization.

340165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 340165540 is about 18443.5772018337. The cubic root of 340165540 is about 698.0664600117.

The spelling of 340165540 in words is "three hundred forty million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 220 260 286 332 415 572 715 830 913 1079 1430 1433 1660 1826 2158 2860 2866 3652 4316 4565 5395 5732 7165 9130 10790 11869 14330 15763 18260 18629 21580 23738 28660 31526 37258 47476 59345 63052 74516 78815 93145 118690 118939 157630 186290 204919 237380 237878 315260 372580 409838 475756 594695 819676 1024595 1189390 1308329 1546207 2049190 2378780 2616658 3092414 4098380 5233316 6184828 6541645 7731035 13083290 15462070 17008277 26166580 30924140 34016554 68033108 85041385 170082770 340165540