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3420124104 = 2332331269743
BaseRepresentation
bin1100101111011010…
…1111001111001000
322211100120022021010
43023312233033020
524001022432404
61323213043520
7150516401205
oct31366571710
98740508233
103420124104
1114a5630951
127b54865a0
13426750897
14246328cac
151503d0189
hexcbdaf3c8

3420124104 has 128 divisors (see below), whose sum is σ = 9256550400. Its totient is φ = 1049959680.

The previous prime is 3420124093. The next prime is 3420124111. The reversal of 3420124104 is 4014210243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602757 + ... + 4603499.

It is an arithmetic number, because the mean of its divisors is an integer number (72316800).

Almost surely, 23420124104 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 3420124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200).

3420124104 is an abundant number, since it is smaller than the sum of its proper divisors (5836426296).

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

3420124104 is a wasteful number, since it uses less digits than its factorization.

3420124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3420124104 is about 58481.8271260398. The cubic root of 3420124104 is about 1506.6554785066.

Adding to 3420124104 its reverse (4014210243), we get a palindrome (7434334347).

The spelling of 3420124104 in words is "three billion, four hundred twenty million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 269 276 372 538 552 713 743 744 807 1076 1426 1486 1614 2139 2152 2229 2852 2972 3228 4278 4458 5704 5944 6187 6456 8339 8556 8916 12374 16678 17089 17112 17832 18561 23033 24748 25017 33356 34178 37122 46066 49496 50034 51267 66712 68356 69099 74244 92132 100068 102534 136712 138198 148488 184264 191797 199867 200136 205068 276396 383594 399734 410136 529759 552792 575391 599601 767188 799468 1059518 1150782 1199202 1534376 1589277 1598936 2119036 2301564 2398404 3178554 4238072 4596941 4603128 4796808 6195877 6357108 9193882 12391754 12714216 13790823 18387764 18587631 24783508 27581646 36775528 37175262 49567016 55163292 74350524 110326584 142505171 148701048 285010342 427515513 570020684 855031026 1140041368 1710062052 3420124104