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3442335032 = 2317192971647
BaseRepresentation
bin1100110100101101…
…1101110100111000
322212220100201221002
43031023131310320
524022214210112
61325325104132
7151206236123
oct31513356470
98786321832
103442335032
111507121294
128009b8048
1342b229446
1424926b3ba
1515231b1c2
hexcd2ddd38

3442335032 has 128 divisors (see below), whose sum is σ = 7558272000. Its totient is φ = 1458616320.

The previous prime is 3442335023. The next prime is 3442335059. The reversal of 3442335032 is 2305332443.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 3442334986 and 3442335004.

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, 5320133 + ... + 5320779.

It is an arithmetic number, because the mean of its divisors is an integer number (59049000).

Almost surely, 23442335032 is an apocalyptic number.

It is an amenable number.

3442335032 is an abundant number, since it is smaller than the sum of its proper divisors (4115936968).

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

3442335032 is a wasteful number, since it uses less digits than its factorization.

3442335032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 29.

The square root of 3442335032 is about 58671.4158002004. The cubic root of 3442335032 is about 1509.9099447777.

Adding to 3442335032 its reverse (2305332443), we get a palindrome (5747667475).

The spelling of 3442335032 in words is "three billion, four hundred forty-two million, three hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 17 19 29 34 38 58 68 71 76 116 136 142 152 232 284 323 493 551 568 646 647 986 1102 1207 1292 1294 1349 1972 2059 2204 2414 2584 2588 2698 3944 4118 4408 4828 5176 5396 8236 9367 9656 10792 10999 12293 16472 18734 18763 21998 22933 24586 35003 37468 37526 39121 43996 45866 45937 49172 70006 74936 75052 78242 87992 91732 91874 98344 140012 150104 156484 183464 183748 208981 280024 312968 318971 356497 367496 417962 637942 665057 712994 780929 835924 872803 1275884 1330114 1332173 1425988 1561858 1671848 1745606 2551768 2660228 2664346 2851976 3123716 3491212 5320456 5328692 6060449 6247432 6982424 10657384 12120898 14837651 22646941 24241796 25311287 29675302 45293882 48483592 50622574 59350604 90587764 101245148 118701208 181175528 202490296 430291879 860583758 1721167516 3442335032