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3346220412 = 22322341241409
BaseRepresentation
bin1100011101110011…
…0100010101111100
322122012111121110100
43013130310111330
523323113023122
61312013041100
7145631255433
oct30734642574
98565447410
103346220412
111467943a17
12794786190
134143462a2
1423a5ac11a
15148b82aac
hexc773457c

3346220412 has 144 divisors (see below), whose sum is σ = 9101252160. Its totient is φ = 1034035200.

The previous prime is 3346220387. The next prime is 3346220429. The reversal of 3346220412 is 2140226433.

3346220412 is a `hidden beast` number, since 3 + 34 + 622 + 0 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×33462204122 = 22394382091370899488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8181264 + ... + 8181672.

It is an arithmetic number, because the mean of its divisors is an integer number (63203140).

Almost surely, 23346220412 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 3346220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550626080).

3346220412 is an abundant number, since it is smaller than the sum of its proper divisors (5755031748).

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

3346220412 is a wasteful number, since it uses less digits than its factorization.

3346220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3346220412 is about 57846.5246319950. The cubic root of 3346220412 is about 1495.7241804929.

Adding to 3346220412 its reverse (2140226433), we get a palindrome (5486446845).

The spelling of 3346220412 in words is "three billion, three hundred forty-six million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 241 246 276 369 409 414 482 492 723 738 818 828 943 964 1227 1446 1476 1636 1886 2169 2454 2829 2892 3681 3772 4338 4908 5543 5658 7362 8487 8676 9407 9881 11086 11316 14724 16629 16769 16974 18814 19762 22172 28221 29643 33258 33538 33948 37628 39524 49887 50307 56442 59286 66516 67076 84663 88929 98569 99774 100614 112884 118572 150921 169326 177858 197138 199548 201228 227263 295707 301842 338652 355716 385687 394276 454526 591414 603684 681789 771374 887121 909052 1157061 1182828 1363578 1542748 1774242 2045367 2267087 2314122 2727156 3471183 3548484 4041329 4090734 4534174 4628244 6801261 6942366 8082658 8181468 9068348 12123987 13602522 13884732 16165316 20403783 24247974 27205044 36371961 40807566 48495948 72743922 81615132 92950567 145487844 185901134 278851701 371802268 557703402 836555103 1115406804 1673110206 3346220412