Search a number
-
+
1003034142 = 232116018429
BaseRepresentation
bin111011110010010…
…001011000011110
32120220101102011200
4323302101120132
54023234043032
6243310300330
733566435535
oct7362213036
92526342150
101003034142
11475206440
1223bab76a6
1312ca60236
14972db31c
155d0d047c
hex3bc9161e

1003034142 has 48 divisors (see below), whose sum is σ = 2375034480. Its totient is φ = 303408000.

The previous prime is 1003034141. The next prime is 1003034203. The reversal of 1003034142 is 2414303001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003034141) 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, 114784 + ... + 123212.

It is an arithmetic number, because the mean of its divisors is an integer number (49479885).

Almost surely, 21003034142 is an apocalyptic number.

1003034142 is an abundant number, since it is smaller than the sum of its proper divisors (1372000338).

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

1003034142 is a wasteful number, since it uses less digits than its factorization.

1003034142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9049 (or 9046 counting only the distinct ones).

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

The square root of 1003034142 is about 31670.7142641274. The cubic root of 1003034142 is about 1001.0103594966.

Adding to 1003034142 its reverse (2414303001), we get a palindrome (3417337143).

The spelling of 1003034142 in words is "one billion, three million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 601 1202 1803 3606 5409 6611 8429 10818 13222 16858 19833 25287 39666 50574 59499 75861 92719 118998 151722 185438 278157 556314 834471 1668942 5065829 10131658 15197487 30394974 45592461 55724119 91184922 111448238 167172357 334344714 501517071 1003034142