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3321241320342 = 2311416143945833
BaseRepresentation
bin110000010101001001011…
…010001011101110010110
3102202111201000111011211110
4300111021122023232112
5413403400234222332
611021431315515450
7461644312266201
oct60251132135626
912674630434743
103321241320342
111070592160380
12457818bb8b86
131b12652673ca
14b6a6b128938
155b5d6b1c4cc
hex3054968bb96

3321241320342 has 128 divisors (see below), whose sum is σ = 7562125992960. Its totient is φ = 963571968000.

The previous prime is 3321241320289. The next prime is 3321241320349. The reversal of 3321241320342 is 2430231421233.

It is a happy number.

It is a super-2 number, since 2×33212413203422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321241320349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72441058 + ... + 72486890.

It is an arithmetic number, because the mean of its divisors is an integer number (59079109320).

Almost surely, 23321241320342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321241320342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781062996480).

3321241320342 is an abundant number, since it is smaller than the sum of its proper divisors (4240884672618).

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

3321241320342 is a wasteful number, since it uses less digits than its factorization.

3321241320342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46390.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3321241320342 its reverse (2430231421233), we get a palindrome (5751472741575).

The spelling of 3321241320342 in words is "three trillion, three hundred twenty-one billion, two hundred forty-one million, three hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 61 66 82 122 123 183 246 366 439 451 671 878 902 1317 1342 1353 2013 2501 2634 2706 4026 4829 5002 7503 9658 14487 15006 17999 26779 27511 28974 35998 45833 53558 53997 55022 80337 82533 91666 107994 137499 160674 165066 197989 274998 294569 395978 504163 589138 593967 883707 1008326 1097939 1187934 1512489 1767414 1879153 2195878 2795813 3024978 3293817 3758306 5591626 5637459 6587634 8387439 11274918 12077329 16774878 20120687 20670683 24154658 30753943 36231987 40241374 41341366 60362061 61507886 62012049 72463974 92261829 114628333 120724122 124024098 184523658 221327557 229256666 343884999 442655114 663982671 687769998 824948167 1227361907 1260911663 1327965342 1649896334 2454723814 2474844501 2521823326 3682085721 3782734989 4949689002 7364171442 7565469978 9074429837 13500980977 18148859674 27001961954 27223289511 40502942931 50321838187 54446579022 81005885862 100643676374 150965514561 301931029122 553540220057 1107080440114 1660620660171 3321241320342