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3342095856 = 2433112772539
BaseRepresentation
bin1100011100110100…
…0101010111110000
322121220202001122000
43013031011113300
523321034031411
61311344414000
7145551226461
oct30715052760
98556661560
103342095856
1114655870a0
12793317300
13413530b18
14239c16d68
1514861a956
hexc73455f0

3342095856 has 160 divisors (see below), whose sum is σ = 10507065600. Its totient is φ = 1008702720.

The previous prime is 3342095851. The next prime is 3342095893. The reversal of 3342095856 is 6585902433.

3342095856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33420958562 = 22339209421384745472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342095851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315035 + ... + 1317573.

It is an arithmetic number, because the mean of its divisors is an integer number (65669160).

Almost surely, 23342095856 is an apocalyptic number.

3342095856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342095856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253532800).

3342095856 is an abundant number, since it is smaller than the sum of its proper divisors (7164969744).

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

3342095856 is a wasteful number, since it uses less digits than its factorization.

3342095856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3342095856 is about 57810.8627854662. The cubic root of 3342095856 is about 1495.1093839124.

The spelling of 3342095856 in words is "three billion, three hundred forty-two million, ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 277 297 396 432 528 554 594 792 831 1108 1188 1584 1662 2216 2376 2493 2539 3047 3324 4432 4752 4986 5078 6094 6648 7479 7617 9141 9972 10156 12188 13296 14958 15234 18282 19944 20312 22851 24376 27423 27929 29916 30468 36564 39888 40624 45702 48752 54846 55858 59832 60936 68553 73128 82269 83787 91404 109692 111716 119664 121872 137106 146256 164538 167574 182808 219384 223432 251361 274212 329076 335148 365616 438768 446864 502722 548424 658152 670296 703303 754083 1005444 1096848 1316304 1340592 1406606 1508166 2010888 2109909 2813212 3016332 4021776 4219818 5626424 6032664 6329727 7736333 8439636 11252848 12065328 12659454 15472666 16879272 18989181 23208999 25318908 30945332 33758544 37978362 46417998 50637816 61890664 69626997 75956724 92835996 101275632 123781328 139253994 151913448 185671992 208880991 278507988 303826896 371343984 417761982 557015976 835523964 1114031952 1671047928 3342095856