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1334324004 = 2231361281499
BaseRepresentation
bin100111110001000…
…0010101100100100
310102222202200102120
41033202002230210
510213041332004
6340223105540
745031365306
oct11742025444
93388680376
101334324004
11625211412
12312a422b0
13183595140
14c92d7976
157c2203d9
hex4f882b24

1334324004 has 96 divisors (see below), whose sum is σ = 3426864000. Its totient is φ = 401587200.

The previous prime is 1334323997. The next prime is 1334324009. The reversal of 1334324004 is 4004234331.

It is not an unprimeable number, because it can be changed into a prime (1334324009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673747 + ... + 2674245.

It is an arithmetic number, because the mean of its divisors is an integer number (35696500).

Almost surely, 21334324004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334324004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713432000).

1334324004 is an abundant number, since it is smaller than the sum of its proper divisors (2092539996).

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

1334324004 is a wasteful number, since it uses less digits than its factorization.

1334324004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1334324004 is about 36528.3999649588. The cubic root of 1334324004 is about 1100.9149423525.

Adding to 1334324004 its reverse (4004234331), we get a palindrome (5338558335).

The spelling of 1334324004 in words is "one billion, three hundred thirty-four million, three hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 281 366 499 562 732 793 843 998 1124 1497 1586 1686 1996 2379 2994 3172 3372 3653 4758 5988 6487 7306 9516 10959 12974 14612 17141 19461 21918 25948 30439 34282 38922 43836 51423 60878 68564 77844 91317 102846 121756 140219 182634 205692 222833 280438 365268 395707 420657 445666 560876 668499 791414 841314 891332 1187121 1336998 1582828 1682628 1822847 2374242 2673996 3645694 4748484 5468541 7291388 8553359 10937082 17106718 21874164 25660077 34213436 51320154 102640308 111193667 222387334 333581001 444774668 667162002 1334324004