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3004301304 = 23321491931451
BaseRepresentation
bin1011001100010001…
…1111111111111000
321202101010022121200
42303010133333320
522123100120204
61214040334200
7134310065634
oct26304377770
97671108550
103004301304
111301939044
126ba174360
1338b55c2a4
14207005dc4
15128b43539
hexb311fff8

3004301304 has 96 divisors (see below), whose sum is σ = 8239374000. Its totient is φ = 988876800.

The previous prime is 3004301303. The next prime is 3004301323. The reversal of 3004301304 is 4031034003.

It is a super-2 number, since 2×30043013042 = 18051652650432200832, which contains 22 as substring.

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 (3004301303) 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, 2069779 + ... + 2071229.

Almost surely, 23004301304 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 3004301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119687000).

3004301304 is an abundant number, since it is smaller than the sum of its proper divisors (5235072696).

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

3004301304 is a wasteful number, since it uses less digits than its factorization.

3004301304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3004301304 is about 54811.5070400368. The cubic root of 3004301304 is about 1442.9385249059.

Adding to 3004301304 its reverse (4031034003), we get a palindrome (7035335307).

The spelling of 3004301304 in words is "three billion, four million, three hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 193 298 386 447 579 596 772 894 1158 1192 1341 1451 1544 1737 1788 2316 2682 2902 3474 3576 4353 4632 5364 5804 6948 8706 10728 11608 13059 13896 17412 26118 28757 34824 52236 57514 86271 104472 115028 172542 216199 230056 258813 280043 345084 432398 517626 560086 648597 690168 840129 864796 1035252 1120172 1297194 1680258 1729592 1945791 2070504 2240344 2520387 2594388 3360516 3891582 5040774 5188776 6721032 7783164 10081548 15566328 20163096 41726407 83452814 125179221 166905628 250358442 333811256 375537663 500716884 751075326 1001433768 1502150652 3004301304