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1034260020 = 2232553108413
BaseRepresentation
bin111101101001011…
…000111000110100
32200002010212000200
4331221120320310
54104232310040
6250343440500
734426031223
oct7551307064
92602125020
101034260020
114908a3952
1224a456130
131363741a1
149b508cba
1560bec630
hex3da58e34

1034260020 has 72 divisors (see below), whose sum is σ = 3196478376. Its totient is φ = 270596352.

The previous prime is 1034260013. The next prime is 1034260027. The reversal of 1034260020 is 200624301.

It is a happy number.

1034260020 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 600 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1034260013) and next prime (1034260027).

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 967085604 = 8196^2 + 31098^2 .

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 = 1034259975 and 1034260002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034260027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44667 + ... + 63746.

It is an arithmetic number, because the mean of its divisors is an integer number (44395533).

Almost surely, 21034260020 is an apocalyptic number.

1034260020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034260020 is an abundant number, since it is smaller than the sum of its proper divisors (2162218356).

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

1034260020 is a wasteful number, since it uses less digits than its factorization.

1034260020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108481 (or 108476 counting only the distinct ones).

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

The square root of 1034260020 is about 32159.9132461516. The cubic root of 1034260020 is about 1011.2920170701.

Adding to 1034260020 its reverse (200624301), we get a palindrome (1234884321).

The spelling of 1034260020 in words is "one billion, thirty-four million, two hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 108413 216826 325239 433652 542065 650478 975717 1084130 1300956 1626195 1951434 2168260 3252390 3902868 4878585 5745889 6504780 9757170 11491778 17237667 19514340 22983556 28729445 34475334 51713001 57458890 68950668 86188335 103426002 114917780 172376670 206852004 258565005 344753340 517130010 1034260020