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340351020 = 223254343973
BaseRepresentation
bin10100010010010…
…101100000101100
3212201102121211100
4110102111200230
51144112213040
653434523100
711301636012
oct2422254054
9781377740
10340351020
11165134839
1295b96490
1355688349
14332b88b2
151ed2eb30
hex1449582c

340351020 has 72 divisors (see below), whose sum is σ = 1056431376. Its totient is φ = 88647552.

The previous prime is 340351019. The next prime is 340351051. The reversal of 340351020 is 20153043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340350984 and 340351002.

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 23 ways as a sum of consecutive naturals, for example, 14247 + ... + 29726.

It is an arithmetic number, because the mean of its divisors is an integer number (14672658).

Almost surely, 2340351020 is an apocalyptic number.

340351020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340351020 is an abundant number, since it is smaller than the sum of its proper divisors (716080356).

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

340351020 is a wasteful number, since it uses less digits than its factorization.

340351020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44031 (or 44026 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 340351020 is about 18448.6048252978. The cubic root of 340351020 is about 698.1933137793.

The spelling of 340351020 in words is "three hundred forty million, three hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 43973 87946 131919 175892 219865 263838 395757 439730 527676 659595 791514 879460 1319190 1583028 1890839 1978785 2638380 3781678 3957570 5672517 7563356 7915140 9454195 11345034 17017551 18908390 22690068 28362585 34035102 37816780 56725170 68070204 85087755 113450340 170175510 340351020