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3114334200 = 233526777471
BaseRepresentation
bin1011100110100000…
…1111011111111000
322001001011120101010
42321220033133320
522334232143300
61233010553520
7140114255355
oct27150173770
98031146333
103114334200
111358a6241a
1272ab988a0
133a82a6603
1421788962c
1513362aa50
hexb9a0f7f8

3114334200 has 96 divisors (see below), whose sum is σ = 9798658560. Its totient is φ = 818083200.

The previous prime is 3114334009. The next prime is 3114334231. The reversal of 3114334200 is 24334113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465 + ... + 78935.

It is an arithmetic number, because the mean of its divisors is an integer number (102069360).

Almost surely, 23114334200 is an apocalyptic number.

3114334200 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 3114334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899329280).

3114334200 is an abundant number, since it is smaller than the sum of its proper divisors (6684324360).

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

3114334200 is a wasteful number, since it uses less digits than its factorization.

3114334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77557 (or 77548 counting only the distinct ones).

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

The square root of 3114334200 is about 55806.2200834280. The cubic root of 3114334200 is about 1460.3436671437.

Adding to 3114334200 its reverse (24334113), we get a palindrome (3138668313).

The spelling of 3114334200 in words is "three billion, one hundred fourteen million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 77471 154942 232413 309884 387355 464826 619768 774710 929652 1162065 1549420 1859304 1936775 2324130 3098840 3873550 4648260 5190557 5810325 7747100 9296520 10381114 11620650 15494200 15571671 20762228 23241300 25952785 31143342 41524456 46482600 51905570 62286684 77858355 103811140 124573368 129763925 155716710 207622280 259527850 311433420 389291775 519055700 622866840 778583550 1038111400 1557167100 3114334200