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3442403124 = 223529971259
BaseRepresentation
bin1100110100101110…
…1110011100110100
322212220111012100000
43031023232130310
524022223344444
61325330351300
7151206641466
oct31513563464
98786435300
103442403124
111507168466
12800a2b530
1342b251434
14249288136
15152331469
hexcd2ee734

3442403124 has 144 divisors (see below), whose sum is σ = 9438811200. Its totient is φ = 1095607296.

The previous prime is 3442403113. The next prime is 3442403137. The reversal of 3442403124 is 4213042443.

It is a happy number.

3442403124 is a `hidden beast` number, since 344 + 2 + 4 + 0 + 312 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2733607 + ... + 2734865.

It is an arithmetic number, because the mean of its divisors is an integer number (65547300).

Almost surely, 23442403124 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 3442403124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719405600).

3442403124 is an abundant number, since it is smaller than the sum of its proper divisors (5996408076).

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

3442403124 is a wasteful number, since it uses less digits than its factorization.

3442403124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3442403124 is about 58671.9960799017. The cubic root of 3442403124 is about 1509.9199004337.

Adding to 3442403124 its reverse (4213042443), we get a palindrome (7655445567).

The spelling of 3442403124 in words is "three billion, four hundred forty-two million, four hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 97 108 116 162 174 194 243 261 291 324 348 388 486 522 582 783 873 972 1044 1164 1259 1566 1746 2349 2518 2619 2813 3132 3492 3777 4698 5036 5238 5626 7047 7554 7857 8439 9396 10476 11252 11331 14094 15108 15714 16878 22662 23571 25317 28188 31428 33756 33993 36511 45324 47142 50634 67986 73022 75951 94284 101268 101979 109533 122123 135972 146044 151902 203958 219066 227853 244246 303804 305937 328599 366369 407916 438132 455706 488492 611874 657198 683559 732738 911412 985797 1099107 1223748 1314396 1367118 1465476 1971594 2198214 2734236 2957391 3297321 3541567 3943188 4396428 5914782 6594642 7083134 8872173 9891963 10624701 11829564 13189284 14166268 17744346 19783926 21249402 29675889 31874103 35488692 39567852 42498804 59351778 63748206 95622309 118703556 127496412 191244618 286866927 382489236 573733854 860600781 1147467708 1721201562 3442403124