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3834346680 = 2333519186859
BaseRepresentation
bin1110010010001011…
…0111110010111000
3100220012222222211000
43210202313302320
530323043043210
61432251205000
7164006260203
oct34442676270
910805888730
103834346680
11169843045a
128b0146760
134915019b8
1428535293a
15176952ac0
hexe48b7cb8

3834346680 has 128 divisors (see below), whose sum is σ = 13453920000. Its totient is φ = 968671872.

The previous prime is 3834346673. The next prime is 3834346687. The reversal of 3834346680 is 866434383.

3834346680 is a `hidden beast` number, since 3 + 83 + 434 + 66 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3834346673) and next prime (3834346687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834346687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72910 + ... + 113949.

It is an arithmetic number, because the mean of its divisors is an integer number (105108750).

Almost surely, 23834346680 is an apocalyptic number.

3834346680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3834346680 is an abundant number, since it is smaller than the sum of its proper divisors (9619573320).

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

3834346680 is a wasteful number, since it uses less digits than its factorization.

3834346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186898 (or 186888 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3834346680 is about 61922.1017085176. The cubic root of 3834346680 is about 1565.1782068331.

The spelling of 3834346680 in words is "three billion, eight hundred thirty-four million, three hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 186859 373718 560577 747436 934295 1121154 1494872 1681731 1868590 2242308 2802885 3363462 3550321 3737180 4484616 5045193 5605770 6726924 7100642 7474360 8408655 10090386 10650963 11211540 13453848 14201284 16817310 17751605 20180772 21301926 22423080 25225965 28402568 31952889 33634620 35503210 40361544 42603852 50451930 53254815 63905778 67269240 71006420 85207704 95858667 100903860 106509630 127811556 142012840 159764445 191717334 201807720 213019260 255623112 319528890 383434668 426038520 479293335 639057780 766869336 958586670 1278115560 1917173340 3834346680