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803034000 = 2434534957
BaseRepresentation
bin101111110111010…
…101001110010000
32001222001100120000
4233313111032100
53121034042000
6211403450000
725620450666
oct5767251620
92058040500
10803034000
1138232336a
121a4b26900
13ca4a5b62
1478918c36
154a776000
hex2fdd5390

803034000 has 200 divisors, whose sum is σ = 2901203448. Its totient is φ = 214099200.

The previous prime is 803033999. The next prime is 803034017. The reversal of 803034000 is 430308.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 802702224 = 576^2 + 28332^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159522 + ... + 164478.

Almost surely, 2803034000 is an apocalyptic number.

803034000 is a gapful number since it is divisible by the number (80) 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 803034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450601724).

803034000 is an abundant number, since it is smaller than the sum of its proper divisors (2098169448).

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

803034000 is a wasteful number, since it uses less digits than its factorization.

803034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4967 counting only the distinct ones).

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

The square root of 803034000 is about 28337.8545412316. The cubic root of 803034000 is about 929.4898346565.

Adding to 803034000 its reverse (430308), we get a palindrome (803464308).

The spelling of 803034000 in words is "eight hundred three million, thirty-four thousand".