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3034476334140 = 22351012332149093
BaseRepresentation
bin101100001010000100111…
…000100100110000111100
3101202002111212120111212120
4230022010320210300330
5344204101420143030
610242004051002540
7432143103155556
oct54120470446074
911662455514776
103034476334140
11a6aa06866909
12410127b99450
131901c4403914
14a6c25a4a4d6
1553e01334010
hex2c284e24c3c

3034476334140 has 96 divisors (see below), whose sum is σ = 8617488699456. Its totient is φ = 797742950400.

The previous prime is 3034476334133. The next prime is 3034476334177. The reversal of 3034476334140 is 414336744303.

It is a junction number, because it is equal to n+sod(n) for n = 3034476334092 and 3034476334101.

It is a congruent number.

It is an unprimeable number.

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, 337434 + ... + 2486526.

It is an arithmetic number, because the mean of its divisors is an integer number (89765507286).

Almost surely, 23034476334140 is an apocalyptic number.

3034476334140 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 3034476334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308744349728).

3034476334140 is an abundant number, since it is smaller than the sum of its proper divisors (5583012365316).

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

3034476334140 is a wasteful number, since it uses less digits than its factorization.

3034476334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149439 (or 2149437 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 3034476334140 in words is "three trillion, thirty-four billion, four hundred seventy-six million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 233 303 404 466 505 606 699 932 1010 1165 1212 1398 1515 2020 2330 2796 3030 3495 4660 6060 6990 13980 23533 47066 70599 94132 117665 141198 235330 282396 352995 470660 705990 1411980 2149093 4298186 6447279 8596372 10745465 12894558 21490930 25789116 32236395 42981860 64472790 128945580 217058393 434116786 500738669 651175179 868233572 1001477338 1085291965 1302350358 1502216007 2002954676 2170583930 2503693345 2604700716 3004432014 3255875895 4341167860 5007386690 6008864028 6511751790 7511080035 10014773380 13023503580 15022160070 30044320140 50574605569 101149211138 151723816707 202298422276 252873027845 303447633414 505746055690 606895266828 758619083535 1011492111380 1517238167070 3034476334140