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3385025028 = 22327111964271
BaseRepresentation
bin1100100111000011…
…0110001000000100
322201220112002101100
43021300312020010
523413031300103
61315520500100
7146612144430
oct31160661004
98656462340
103385025028
111487838450
127a577a630
1341c3b19b8
142417cd9c0
1514c29a5a3
hexc9c36204

3385025028 has 144 divisors (see below), whose sum is σ = 11229603840. Its totient is φ = 832939200.

The previous prime is 3385024969. The next prime is 3385025051. The reversal of 3385025028 is 8205205833.

3385025028 is a `hidden beast` number, since 3 + 385 + 0 + 250 + 28 = 666.

It is a super-2 number, since 2×33850250282 = 22916788880372801568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3385024983 and 3385025001.

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, 20533 + ... + 84803.

It is an arithmetic number, because the mean of its divisors is an integer number (77983360).

Almost surely, 23385025028 is an apocalyptic number.

3385025028 is a gapful number since it is divisible by the number (38) 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 3385025028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614801920).

3385025028 is an abundant number, since it is smaller than the sum of its proper divisors (7844578812).

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

3385025028 is a wasteful number, since it uses less digits than its factorization.

3385025028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64318 (or 64313 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3385025028 is about 58180.9679190713. The cubic root of 3385025028 is about 1501.4837212303.

The spelling of 3385025028 in words is "three billion, three hundred eighty-five million, twenty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 52668 64271 128542 192813 257084 385626 449897 578439 706981 771252 899794 1156878 1221149 1349691 1413962 1799588 2120943 2313756 2442298 2699382 2827924 3663447 4049073 4241886 4884596 4948867 5398764 6362829 7326894 8098146 8483772 8548043 9897734 10990341 12725658 13432639 14653788 14846601 16196292 17096086 19795468 21980682 25451316 25644129 26865278 29693202 34192172 40297917 43961364 44539803 51288258 53730556 59386404 76932387 80595834 89079606 94028473 102576516 120893751 153864774 161191668 178159212 188056946 241787502 282085419 307729548 376113892 483575004 564170838 846256257 1128341676 1692512514 3385025028