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1052134434 = 234131792791
BaseRepresentation
bin111110101101100…
…100110000100010
32201022202222010000
4332231210300202
54123321300214
6252222520430
735033665221
oct7655446042
92638688100
101052134434
1149a9a219a
12254436116
13139c91c70
149da3ccb8
156257d809
hex3eb64c22

1052134434 has 80 divisors (see below), whose sum is σ = 2554009920. Its totient is φ = 321809760.

The previous prime is 1052134427. The next prime is 1052134439. The reversal of 1052134434 is 4344312501.

It is a happy number.

1052134434 is a `hidden beast` number, since 1 + 0 + 5 + 213 + 443 + 4 = 666.

1052134434 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 2×10521344342 = 2213973734417000712, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1052134398 and 1052134407.

It is not an unprimeable number, because it can be changed into a prime (1052134439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375579 + ... + 378369.

It is an arithmetic number, because the mean of its divisors is an integer number (31925124).

Almost surely, 21052134434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052134434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277004960).

1052134434 is an abundant number, since it is smaller than the sum of its proper divisors (1501875486).

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

1052134434 is a wasteful number, since it uses less digits than its factorization.

1052134434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2988 counting only the distinct ones).

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

The square root of 1052134434 is about 32436.6218031410. The cubic root of 1052134434 is about 1017.0845989092.

Adding to 1052134434 its reverse (4344312501), we get a palindrome (5396446935).

The spelling of 1052134434 in words is "one billion, fifty-two million, one hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 179 234 351 358 537 702 1053 1074 1611 2106 2327 2791 3222 4654 4833 5582 6981 8373 9666 13962 14499 16746 20943 25119 28998 36283 41886 50238 62829 72566 75357 108849 125658 150714 188487 217698 226071 326547 376974 452142 499589 653094 979641 999178 1498767 1959282 2938923 2997534 4496301 5877846 6494657 8992602 12989314 13488903 19483971 26977806 38967942 40466709 58451913 80933418 116903826 175355739 350711478 526067217 1052134434