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340400130 = 23576126573
BaseRepresentation
bin10100010010100…
…001100000000010
3212201112010012020
4110102201200002
51144120301010
653435542310
711302232130
oct2422414002
9781463166
10340400130
11165168724
1295bba996
13556a47c5
14332cc750
151ed3e470
hex144a1802

340400130 has 64 divisors (see below), whose sum is σ = 949010688. Its totient is φ = 76527360.

The previous prime is 340400113. The next prime is 340400131. The reversal of 340400130 is 31004043.

340400130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (340400131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477 + ... + 26096.

It is an arithmetic number, because the mean of its divisors is an integer number (14828292).

Almost surely, 2340400130 is an apocalyptic number.

340400130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474505344).

340400130 is an abundant number, since it is smaller than the sum of its proper divisors (608610558).

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

340400130 is a wasteful number, since it uses less digits than its factorization.

340400130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26651.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 340400130 is about 18449.9357722459. The cubic root of 340400130 is about 698.2268934491.

Adding to 340400130 its reverse (31004043), we get a palindrome (371404173).

The spelling of 340400130 in words is "three hundred forty million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 4270 6405 12810 26573 53146 79719 132865 159438 186011 265730 372022 398595 558033 797190 930055 1116066 1620953 1860110 2790165 3241906 4862859 5580330 8104765 9725718 11346671 16209530 22693342 24314295 34040013 48628590 56733355 68080026 113466710 170200065 340400130