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3234413100 = 22352471911201
BaseRepresentation
bin1100000011001001…
…0011101000101100
322100102010012122210
43000302103220230
523111002204400
61252540410420
7143103025542
oct30062235054
98312105583
103234413100
11140a818486
12763246a10
133c712a409
142297c5d92
1513de49950
hexc0c93a2c

3234413100 has 144 divisors (see below), whose sum is σ = 9615384576. Its totient is φ = 839040000.

The previous prime is 3234413093. The next prime is 3234413131. The reversal of 3234413100 is 13144323.

It is a super-2 number, since 2×32344131002 = 20922856202903220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2692500 + ... + 2693700.

It is an arithmetic number, because the mean of its divisors is an integer number (66773504).

Almost surely, 23234413100 is an apocalyptic number.

3234413100 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 3234413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807692288).

3234413100 is an abundant number, since it is smaller than the sum of its proper divisors (6380971476).

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

3234413100 is a wasteful number, since it uses less digits than its factorization.

3234413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3234413100 is about 56871.9007946807. The cubic root of 3234413100 is about 1478.8762317907.

Adding to 3234413100 its reverse (13144323), we get a palindrome (3247557423).

The spelling of 3234413100 in words is "three billion, two hundred thirty-four million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 191 235 282 300 382 470 564 573 705 764 940 955 1146 1175 1201 1410 1910 2292 2350 2402 2820 2865 3525 3603 3820 4700 4775 4804 5730 6005 7050 7206 8977 9550 11460 12010 14100 14325 14412 17954 18015 19100 24020 26931 28650 30025 35908 36030 44885 53862 56447 57300 60050 72060 89770 90075 107724 112894 120100 134655 169341 179540 180150 224425 225788 229391 269310 282235 338682 360300 448850 458782 538620 564470 673275 677364 688173 846705 897700 917564 1128940 1146955 1346550 1376346 1411175 1693410 2293910 2693100 2752692 2822350 3386820 3440865 4233525 4587820 5644700 5734775 6881730 8467050 10781377 11469550 13763460 16934100 17204325 21562754 22939100 32344131 34408650 43125508 53906885 64688262 68817300 107813770 129376524 161720655 215627540 269534425 323441310 539068850 646882620 808603275 1078137700 1617206550 3234413100