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1034264052 = 22349732909
BaseRepresentation
bin111101101001011…
…001110111110100
32200002011001120000
4331221121313310
54104232422202
6250343511300
734426046043
oct7551316764
92602131500
101034264052
114908a6988
1224a458530
13136375c83
149b50a55a
1560bed91c
hex3da59df4

1034264052 has 60 divisors (see below), whose sum is σ = 2731727460. Its totient is φ = 341190144.

The previous prime is 1034264051. The next prime is 1034264053. The reversal of 1034264052 is 2504624301.

1034264052 is a `hidden beast` number, since 10 + 3 + 4 + 2 + 640 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1034264051) and next prime (1034264053).

It can be written as a sum of positive squares in 2 ways, for example, as 692531856 + 341732196 = 26316^2 + 18486^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034264051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14974 + ... + 47882.

It is an arithmetic number, because the mean of its divisors is an integer number (45528791).

Almost surely, 21034264052 is an apocalyptic number.

1034264052 is a gapful number since it is divisible by the number (12) 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 1034264052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365863730).

1034264052 is an abundant number, since it is smaller than the sum of its proper divisors (1697463408).

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

1034264052 is a wasteful number, since it uses less digits than its factorization.

1034264052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33022 (or 33011 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1034264052 is about 32159.9759328268. The cubic root of 1034264052 is about 1011.2933312219.

Adding to 1034264052 its reverse (2504624301), we get a palindrome (3538888353).

The spelling of 1034264052 in words is "one billion, thirty-four million, two hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 3492 5238 7857 10476 15714 31428 32909 65818 98727 131636 197454 296181 394908 592362 888543 1184724 1777086 2665629 3192173 3554172 5331258 6384346 9576519 10662516 12768692 19153038 28729557 38306076 57459114 86188671 114918228 172377342 258566013 344754684 517132026 1034264052