Search a number
-
+
1032034340 = 22537237693
BaseRepresentation
bin111101100000111…
…001100000100100
32122220221202222002
4331200321200210
54103200044330
6250224024432
734401101321
oct7540714044
92586852862
101032034340
1148a613747
12249762118
13135a7510c
149b0c9b48
156090ce45
hex3d839824

1032034340 has 36 divisors (see below), whose sum is σ = 2227489236. Its totient is φ = 401645952.

The previous prime is 1032034321. The next prime is 1032034369. The reversal of 1032034340 is 434302301.

It can be written as a sum of positive squares in 6 ways, for example, as 38019556 + 994014784 = 6166^2 + 31528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8534 + ... + 46226.

It is an arithmetic number, because the mean of its divisors is an integer number (61874701).

Almost surely, 21032034340 is an apocalyptic number.

1032034340 is a gapful number since it is divisible by the number (10) 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 1032034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113744618).

1032034340 is an abundant number, since it is smaller than the sum of its proper divisors (1195454896).

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

1032034340 is a wasteful number, since it uses less digits than its factorization.

1032034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37776 (or 37737 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1032034340 is about 32125.2912827261. The cubic root of 1032034340 is about 1010.5660781204.

Adding to 1032034340 its reverse (434302301), we get a palindrome (1466336641).

The spelling of 1032034340 in words is "one billion, thirty-two million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 37693 75386 150772 188465 376930 753860 1394641 2789282 5578564 6973205 13946410 27892820 51601717 103203434 206406868 258008585 516017170 1032034340