Search a number
-
+
1030074768 = 24327153297
BaseRepresentation
bin111101011001011…
…011000110010000
32122210021012221100
4331121123012100
54102144343033
6250114024400
734345330302
oct7531330620
92583235840
101030074768
114894a5468
12248b78100
1313553a1c8
149ab39972
1560672513
hex3d65b190

1030074768 has 30 divisors (see below), whose sum is σ = 2882779094. Its totient is φ = 343358208.

The previous prime is 1030074739. The next prime is 1030074791. The reversal of 1030074768 is 8674700301.

1030074768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 950365584 + 79709184 = 30828^2 + 8928^2 .

It is a super-2 number, since 2×10300747682 = 2122108055340507648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3576505 + ... + 3576792.

Almost surely, 21030074768 is an apocalyptic number.

1030074768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1030074768 is an abundant number, since it is smaller than the sum of its proper divisors (1852704326).

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

1030074768 is a wasteful number, since it uses less digits than its factorization.

1030074768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153311 (or 7153302 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1030074768 is about 32094.7778929844. Note that the first 3 decimals coincide. The cubic root of 1030074768 is about 1009.9260698100.

The spelling of 1030074768 in words is "one billion, thirty million, seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7153297 14306594 21459891 28613188 42919782 57226376 64379673 85839564 114452752 128759346 171679128 257518692 343358256 515037384 1030074768