Search a number
-
+
1034301024 = 253219189017
BaseRepresentation
bin111101101001100…
…010111001100000
32200002012221021100
4331221202321200
54104240113044
6250344354400
734426261611
oct7551427140
92602187240
101034301024
11490921739
1224a475a00
13136389a53
149b519c08
1560c09869
hex3da62e60

1034301024 has 72 divisors (see below), whose sum is σ = 3096114840. Its totient is φ = 326619648.

The previous prime is 1034301017. The next prime is 1034301041. The reversal of 1034301024 is 4201034301.

1034301024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1034300988 and 1034301006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89037 + ... + 99980.

It is an arithmetic number, because the mean of its divisors is an integer number (43001595).

Almost surely, 21034301024 is an apocalyptic number.

It is an amenable number.

1034301024 is an abundant number, since it is smaller than the sum of its proper divisors (2061813816).

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

1034301024 is a wasteful number, since it uses less digits than its factorization.

1034301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189052 (or 189041 counting only the distinct ones).

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

The square root of 1034301024 is about 32160.5507415529. The cubic root of 1034301024 is about 1011.3053813657.

Adding to 1034301024 its reverse (4201034301), we get a palindrome (5235335325).

The spelling of 1034301024 in words is "one billion, thirty-four million, three hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 189017 378034 567051 756068 1134102 1512136 1701153 2268204 3024272 3402306 3591323 4536408 6048544 6804612 7182646 9072816 10773969 13609224 14365292 18145632 21547938 27218448 28730584 32321907 43095876 54436896 57461168 64643814 86191752 114922336 129287628 172383504 258575256 344767008 517150512 1034301024