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3034305700 = 2252197183271
BaseRepresentation
bin1011010011011011…
…1101010010100100
321211110120200220121
42310312331102210
522203240240300
61221031411324
7135123113206
oct26466752244
97743520817
103034305700
111317871868
12708223b44
1339483627a
1420adb6776
1512b5bd81a
hexb4dbd4a4

3034305700 has 144 divisors (see below), whose sum is σ = 7139543040. Its totient is φ = 1115856000.

The previous prime is 3034305697. The next prime is 3034305713. The reversal of 3034305700 is 75034303.

It is a super-2 number, since 2×30343057002 = 18414022162104980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 11196565 + ... + 11196835.

It is an arithmetic number, because the mean of its divisors is an integer number (49580160).

Almost surely, 23034305700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034305700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569771520).

3034305700 is an abundant number, since it is smaller than the sum of its proper divisors (4105237340).

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

3034305700 is a wasteful number, since it uses less digits than its factorization.

3034305700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 3034305700 is about 55084.5323117116. The cubic root of 3034305700 is about 1447.7262341986.

The spelling of 3034305700 in words is "three billion, thirty-four million, three hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 83 95 100 142 166 190 271 284 332 355 380 415 475 542 710 830 950 1084 1349 1355 1420 1577 1660 1775 1900 2075 2698 2710 3154 3550 4150 5149 5396 5420 5893 6308 6745 6775 7100 7885 8300 10298 11786 13490 13550 15770 19241 20596 22493 23572 25745 26980 27100 29465 31540 33725 38482 39425 44986 51490 58930 67450 76964 78850 89972 96205 102980 111967 112465 117860 128725 134900 147325 157700 192410 223934 224930 257450 294650 365579 384820 427367 447868 449860 481025 514900 559835 562325 589300 731158 854734 962050 1119670 1124650 1462316 1597003 1709468 1827895 1924100 2136835 2239340 2249300 2799175 3194006 3655790 4273670 5598350 6388012 7311580 7985015 8547340 9139475 10684175 11196700 15970030 18278950 21368350 30343057 31940060 36557900 39925075 42736700 60686114 79850150 121372228 151715285 159700300 303430570 606861140 758576425 1517152850 3034305700