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1020343140 = 223255668573
BaseRepresentation
bin111100110100010…
…011001101100100
32122002221210122200
4330310103031210
54042201440030
6245125254500
734166526225
oct7464231544
92562853580
101020343140
11483a589a3
12245864430
1313351084b
149972524c
155e89dd60
hex3cd13364

1020343140 has 36 divisors (see below), whose sum is σ = 3095041404. Its totient is φ = 272091456.

The previous prime is 1020343133. The next prime is 1020343147. The reversal of 1020343140 is 413430201.

1020343140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020343133) and next prime (1020343147).

It can be written as a sum of positive squares in 2 ways, for example, as 774731556 + 245611584 = 27834^2 + 15672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10203431402 = 2082200246690119200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020343147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2834107 + ... + 2834466.

Almost surely, 21020343140 is an apocalyptic number.

1020343140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020343140 is an abundant number, since it is smaller than the sum of its proper divisors (2074698264).

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

1020343140 is a wasteful number, since it uses less digits than its factorization.

1020343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668588 (or 5668583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020343140 is about 31942.8104586932. The cubic root of 1020343140 is about 1006.7355768118.

Adding to 1020343140 its reverse (413430201), we get a palindrome (1433773341).

The spelling of 1020343140 in words is "one billion, twenty million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5668573 11337146 17005719 22674292 28342865 34011438 51017157 56685730 68022876 85028595 102034314 113371460 170057190 204068628 255085785 340114380 510171570 1020343140