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3350469072 = 2431747199439
BaseRepresentation
bin1100011110110100…
…0001100111010000
322122111111110112010
43013231001213100
523330210002242
61312244102520
7146012342256
oct30755014720
98574443463
103350469072
11146a286005
12796094a40
134151a30a2
1423ad965d6
1514922189c
hexc7b419d0

3350469072 has 160 divisors (see below), whose sum is σ = 9427968000. Its totient is φ = 1021261824.

The previous prime is 3350469013. The next prime is 3350469107. The reversal of 3350469072 is 2709640533.

It is a super-2 number, since 2×33504690722 = 22451286004857082368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3350469072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7631829 + ... + 7632267.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 23350469072 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 3350469072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984000).

3350469072 is an abundant number, since it is smaller than the sum of its proper divisors (6077498928).

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

3350469072 is a wasteful number, since it uses less digits than its factorization.

3350469072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 3350469072 is about 57883.2365370148. The cubic root of 3350469072 is about 1496.3569477208.

The spelling of 3350469072 in words is "three billion, three hundred fifty million, four hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 199 204 272 282 376 398 408 439 564 597 752 796 799 816 878 1128 1194 1317 1592 1598 1756 2256 2388 2397 2634 3184 3196 3383 3512 4776 4794 5268 6392 6766 7024 7463 9353 9552 9588 10149 10536 12784 13532 14926 18706 19176 20298 20633 21072 22389 27064 28059 29852 37412 38352 40596 41266 44778 54128 56118 59704 61899 74824 81192 82532 87361 89556 112236 119408 123798 149648 159001 162384 165064 174722 179112 224472 247596 262083 318002 330128 349444 350761 358224 448944 477003 495192 524166 636004 698888 701522 954006 990384 1048332 1052283 1272008 1397776 1403044 1485137 1908012 2096664 2104566 2544016 2806088 2970274 3816024 4105967 4193328 4209132 4455411 5612176 5940548 7632048 8211934 8418264 8910822 11881096 12317901 16423868 16836528 17821644 23762192 24635802 32847736 35643288 49271604 65695472 69801439 71286576 98543208 139602878 197086416 209404317 279205756 418808634 558411512 837617268 1116823024 1675234536 3350469072