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3404210004 = 223413808217
BaseRepresentation
bin1100101011101000…
…0001111101010100
322210020121210020000
43022322001331110
523432434210004
61321444011300
7150234210336
oct31272017524
98706553200
103404210004
1114976513a8
127b0090b30
1342336b160
14244185456
1514dcd9c39
hexcae81f54

3404210004 has 60 divisors (see below), whose sum is σ = 9583849044. Its totient is φ = 1047447936.

The previous prime is 3404209973. The next prime is 3404210023. The reversal of 3404210004 is 4000124043.

3404210004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2342753604 + 1061456400 = 48402^2 + 32580^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 399897 + ... + 408320.

Almost surely, 23404210004 is an apocalyptic number.

It is an amenable number.

3404210004 is an abundant number, since it is smaller than the sum of its proper divisors (6179639040).

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

3404210004 is a wasteful number, since it uses less digits than its factorization.

3404210004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808246 (or 808235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3404210004 is about 58345.6082666039. The cubic root of 3404210004 is about 1504.3149833766.

Adding to 3404210004 its reverse (4000124043), we get a palindrome (7404334047).

The spelling of 3404210004 in words is "three billion, four hundred four million, two hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 808217 1616434 2424651 3232868 4849302 7273953 9698604 10506821 14547906 21013642 21821859 29095812 31520463 42027284 43643718 63040926 65465577 87287436 94561389 126081852 130931154 189122778 261862308 283684167 378245556 567368334 851052501 1134736668 1702105002 3404210004