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2034434440 = 235397128113
BaseRepresentation
bin111100101000011…
…0000000110001000
312020210010222101201
41321100300012020
513131303400230
6533512553544
7101262256513
oct17120600610
95223128351
102034434440
11954426785
124893b28b4
1326564287c
1415429dd7a
15bd9155ca
hex79430188

2034434440 has 32 divisors (see below), whose sum is σ = 4589043480. Its totient is φ = 811717632.

The previous prime is 2034434411. The next prime is 2034434449. The reversal of 2034434440 is 444344302.

It can be written as a sum of positive squares in 4 ways, for example, as 1384286436 + 650148004 = 37206^2 + 25498^2 .

It is a super-2 number, since 2×20344344402 = 8277846981316227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034434399 and 2034434408.

It is not an unprimeable number, because it can be changed into a prime (2034434449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48177 + ... + 79936.

Almost surely, 22034434440 is an apocalyptic number.

2034434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034434440 is an abundant number, since it is smaller than the sum of its proper divisors (2554609040).

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

2034434440 is a wasteful number, since it uses less digits than its factorization.

2034434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128521 (or 128517 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2034434440 is about 45104.7052977846. The cubic root of 2034434440 is about 1267.1107236557.

Adding to 2034434440 its reverse (444344302), we get a palindrome (2478778742).

The spelling of 2034434440 in words is "two billion, thirty-four million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1588 1985 3176 3970 7940 15880 128113 256226 512452 640565 1024904 1281130 2562260 5124520 50860861 101721722 203443444 254304305 406886888 508608610 1017217220 2034434440