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1003240434 = 237792111433
BaseRepresentation
bin111011110011000…
…011101111110010
32120220202220011010
4323303003233302
54023312143214
6243314531350
733601255140
oct7363035762
92526686133
101003240434
11475337429
1223bb96b56
1312cb030c1
1497352590
155d121659
hex3bcc3bf2

1003240434 has 64 divisors (see below), whose sum is σ = 2334781440. Its totient is φ = 281473920.

The previous prime is 1003240429. The next prime is 1003240477. The reversal of 1003240434 is 4340423001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1003240434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699382 + ... + 700814.

It is an arithmetic number, because the mean of its divisors is an integer number (36480960).

Almost surely, 21003240434 is an apocalyptic number.

1003240434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003240434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167390720).

1003240434 is an abundant number, since it is smaller than the sum of its proper divisors (1331541006).

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

1003240434 is a wasteful number, since it uses less digits than its factorization.

1003240434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1003240434 is about 31673.9709225099. The cubic root of 1003240434 is about 1001.0789800500.

Adding to 1003240434 its reverse (4340423001), we get a palindrome (5343663435).

The spelling of 1003240434 in words is "one billion, three million, two hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 211 237 422 474 553 633 1106 1266 1433 1477 1659 2866 2954 3318 4299 4431 8598 8862 10031 16669 20062 30093 33338 50007 60186 100014 113207 116683 226414 233366 302363 339621 350049 604726 679242 700098 792449 907089 1584898 1814178 2116541 2377347 4233082 4754694 6349623 12699246 23886677 47773354 71660031 143320062 167206739 334413478 501620217 1003240434