Search a number
-
+
1030240824 = 23373588037
BaseRepresentation
bin111101011010000…
…011101000111000
32122210120122201120
4331122003220320
54102220201244
6250121345240
734346621364
oct7532035070
92583518646
101030240824
114895a91a8
12249038220
13135597972
149ab802a4
15606a6819
hex3d683a38

1030240824 has 32 divisors (see below), whose sum is σ = 2610888720. Its totient is φ = 338708736.

The previous prime is 1030240823. The next prime is 1030240847. The reversal of 1030240824 is 4280420301.

1030240824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302408242 = 2122792310872397952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1030240794 and 1030240803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030240823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292267 + ... + 295770.

Almost surely, 21030240824 is an apocalyptic number.

It is an amenable number.

1030240824 is an abundant number, since it is smaller than the sum of its proper divisors (1580647896).

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

1030240824 is a wasteful number, since it uses less digits than its factorization.

1030240824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588119 (or 588115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1030240824 is about 32097.3647516428. The cubic root of 1030240824 is about 1009.9803361855.

The spelling of 1030240824 in words is "one billion, thirty million, two hundred forty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 588037 1176074 1764111 2352148 3528222 4704296 7056444 14112888 42926701 85853402 128780103 171706804 257560206 343413608 515120412 1030240824