Search a number
-
+
3083945940 = 2233523572423
BaseRepresentation
bin1011011111010001…
…0100011111010100
321221220222200112000
42313310110133110
522303442232230
61230003355300
7136265052015
oct26764243724
97856880460
103083945940
111342897259
12720982b30
133a1bc69aa
1421381900c
15130b26b60
hexb7d147d4

3083945940 has 96 divisors (see below), whose sum is σ = 9602530560. Its totient is φ = 821697408.

The previous prime is 3083945903. The next prime is 3083945957. The reversal of 3083945940 is 495493803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1271569 + ... + 1273991.

It is an arithmetic number, because the mean of its divisors is an integer number (100026360).

Almost surely, 23083945940 is an apocalyptic number.

3083945940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3083945940 is an abundant number, since it is smaller than the sum of its proper divisors (6518584620).

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

3083945940 is a wasteful number, since it uses less digits than its factorization.

3083945940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3083945940 is about 55533.2867746904. The cubic root of 3083945940 is about 1455.5783437913.

The spelling of 3083945940 in words is "three billion, eighty-three million, nine hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2357 2423 4714 4846 7071 7269 9428 9692 11785 12115 14142 14538 21213 21807 23570 24230 28284 29076 35355 36345 42426 43614 47140 48460 63639 65421 70710 72690 84852 87228 106065 109035 127278 130842 141420 145380 212130 218070 254556 261684 318195 327105 424260 436140 636390 654210 1272780 1308420 5711011 11422022 17133033 22844044 28555055 34266066 51399099 57110110 68532132 85665165 102798198 114220220 154197297 171330330 205596396 256995495 308394594 342660660 513990990 616789188 770986485 1027981980 1541972970 3083945940