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3399123204 = 2234412792
BaseRepresentation
bin1100101010011010…
…1000000100000100
322202220001100110000
43022212220010010
523430133420304
61321143001300
7150143033121
oct31246500404
98686040400
103399123204
111494797634
127aa439230
134222a9a09
1424361d748
1514d632939
hexca9a8104

3399123204 has 135 divisors (see below), whose sum is σ = 9224747301. Its totient is φ = 1091413440.

The previous prime is 3399123193. The next prime is 3399123223. The reversal of 3399123204 is 4023219933.

The square root of 3399123204 is 58302.

It is a perfect power (a square), and thus also a powerful number.

3399123204 is a `hidden beast` number, since 339 + 91 + 232 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163788804 + 3235334400 = 12798^2 + 56880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43026837 + ... + 43026915.

Almost surely, 23399123204 is an apocalyptic number.

3399123204 is the 58302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399123204

3399123204 is an abundant number, since it is smaller than the sum of its proper divisors (5825624097).

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

3399123204 is an equidigital number, since it uses as much as digits as its factorization.

3399123204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 3399123204 is about 1503.5653269151.

Multiplying 3399123204 by its sum of digits (36), we get a square (122368435344 = 3498122).

3399123204 divided by its sum of digits (36) gives a square (94420089 = 97172).

The spelling of 3399123204 in words is "three billion, three hundred ninety-nine million, one hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 79 81 82 108 123 158 162 164 237 246 316 324 369 474 492 711 738 948 1107 1422 1476 1681 2133 2214 2844 3239 3321 3362 4266 4428 5043 6241 6399 6478 6642 6724 8532 9717 10086 12482 12798 12956 13284 15129 18723 19434 20172 24964 25596 29151 30258 37446 38868 45387 56169 58302 60516 74892 87453 90774 112338 116604 132799 136161 168507 174906 181548 224676 255881 262359 265598 272322 337014 349812 398397 505521 511762 524718 531196 544644 674028 767643 796794 1011042 1023524 1049436 1195191 1535286 1593588 2022084 2302929 2390382 3070572 3585573 4605858 4780764 6908787 7171146 9211716 10491121 10756719 13817574 14342292 20726361 20982242 21513438 27635148 31473363 41452722 41964484 43026876 62946726 82905444 94420089 125893452 188840178 283260267 377680356 566520534 849780801 1133041068 1699561602 3399123204