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1002004404 = 223292432309
BaseRepresentation
bin111011101110010…
…101111110110100
32120211110002122020
4323232111332310
54023003120104
6243232233140
733554616432
oct7356257664
92524402566
101002004404
11474672815
1223b69b7b0
1312c78c61b
149710dd52
155ce7a2d9
hex3bb95fb4

1002004404 has 72 divisors (see below), whose sum is σ = 2478796320. Its totient is φ = 314848128.

The previous prime is 1002004397. The next prime is 1002004417. The reversal of 1002004404 is 4044002001.

Adding to 1002004404 its reverse (4044002001), we get a palindrome (5046006405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432802 + ... + 435110.

Almost surely, 21002004404 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 1002004404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239398160).

1002004404 is an abundant number, since it is smaller than the sum of its proper divisors (1476791916).

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

1002004404 is a wasteful number, since it uses less digits than its factorization.

1002004404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1002004404 is about 31654.4531464374. The cubic root of 1002004404 is about 1000.6676887592.

The spelling of 1002004404 in words is "one billion, two million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 841 1247 1682 2309 2494 2523 3364 3741 4618 4988 5046 6927 7482 9236 10092 13854 14964 27708 36163 66961 72326 99287 108489 133922 144652 198574 200883 216978 267844 297861 397148 401766 433956 595722 803532 1191444 1941869 2879323 3883738 5758646 5825607 7767476 8637969 11517292 11651214 17275938 23302428 34551876 83500367 167000734 250501101 334001468 501002202 1002004404