Search a number
-
+
3391004880 = 2432547100207
BaseRepresentation
bin1100101000011110…
…1010000011010000
322202022202220012100
43022013222003100
523421044124010
61320253000400
7150014031414
oct31207520320
98668686170
103391004880
11149015217a
127a7783100
134206c6783
14242508d44
1514ca7c2c0
hexca1ea0d0

3391004880 has 120 divisors (see below), whose sum is σ = 11630541312. Its totient is φ = 885019392.

The previous prime is 3391004857. The next prime is 3391004891. The reversal of 3391004880 is 884001933.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33910048802 = 22997828192367628800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16264 + ... + 83943.

Almost surely, 23391004880 is an apocalyptic number.

3391004880 is a gapful number since it is divisible by the number (30) 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 3391004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815270656).

3391004880 is an abundant number, since it is smaller than the sum of its proper divisors (8239536432).

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

3391004880 is a wasteful number, since it uses less digits than its factorization.

3391004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100273 (or 100264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3391004880 is about 58232.3353472965. The cubic root of 3391004880 is about 1502.3673551209.

The spelling of 3391004880 in words is "three billion, three hundred ninety-one million, four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 100207 200414 300621 400828 501035 601242 801656 901863 1002070 1202484 1503105 1603312 1803726 2004140 2404968 3006210 3607452 4008280 4509315 4709729 4809936 6012420 7214904 8016560 9018630 9419458 12024840 14129187 14429808 18037260 18838916 23548645 24049680 28258374 36074520 37677832 42387561 47097290 56516748 70645935 72149040 75355664 84775122 94194580 113033496 141291870 169550244 188389160 211937805 226066992 282583740 339100488 376778320 423875610 565167480 678200976 847751220 1130334960 1695502440 3391004880