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3384856740 = 2235178294003
BaseRepresentation
bin1100100111000000…
…1101000010100100
322201220012112112110
43021300031002210
523413010403430
61315513121020
7146610543666
oct31160150244
98656175473
103384856740
111487732a71
127a56b9170
1341c353215
14241788536
1514c2657b0
hexc9c0d0a4

3384856740 has 96 divisors (see below), whose sum is σ = 10049719680. Its totient is φ = 848295936.

The previous prime is 3384856703. The next prime is 3384856753. The reversal of 3384856740 is 476584833.

It is a super-2 number, since 2×33848567402 = 22914510300646855200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384856740.

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, 843579 + ... + 847581.

It is an arithmetic number, because the mean of its divisors is an integer number (104684580).

Almost surely, 23384856740 is an apocalyptic number.

3384856740 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 3384856740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024859840).

3384856740 is an abundant number, since it is smaller than the sum of its proper divisors (6664862940).

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

3384856740 is a wasteful number, since it uses less digits than its factorization.

3384856740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3384856740 is about 58179.5216549603. The cubic root of 3384856740 is about 1501.4588385113.

The spelling of 3384856740 in words is "three billion, three hundred eighty-four million, eight hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 829 1020 1658 2487 3316 4003 4145 4974 8006 8290 9948 12009 12435 14093 16012 16580 20015 24018 24870 28186 40030 42279 48036 49740 56372 60045 68051 70465 80060 84558 120090 136102 140930 169116 204153 211395 240180 272204 281860 340255 408306 422790 680510 816612 845580 1020765 1361020 2041530 3318487 4083060 6636974 9955461 13273948 16592435 19910922 33184870 39821844 49777305 56414279 66369740 99554610 112828558 169242837 199109220 225657116 282071395 338485674 564142790 676971348 846214185 1128285580 1692428370 3384856740