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3844114900 = 225241937589
BaseRepresentation
bin1110010100100000…
…1000100111010100
3100220220101021021221
43211020020213110
530333043134100
61433240420124
7164155303033
oct34510104724
910826337257
103844114900
1116a29a246a
128b3477644
13493541c02
1428677671a
1517773201a
hexe52089d4

3844114900 has 36 divisors (see below), whose sum is σ = 8545195260. Its totient is φ = 1500140800.

The previous prime is 3844114837. The next prime is 3844114907. The reversal of 3844114900 is 94114483.

It can be written as a sum of positive squares in 6 ways, for example, as 26357956 + 3817756944 = 5134^2 + 61788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3844114907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 464695 + ... + 472894.

It is an arithmetic number, because the mean of its divisors is an integer number (237366535).

Almost surely, 23844114900 is an apocalyptic number.

It is an amenable number.

3844114900 is an abundant number, since it is smaller than the sum of its proper divisors (4701080360).

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

3844114900 is a wasteful number, since it uses less digits than its factorization.

3844114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937644 (or 937637 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3844114900 is about 62000.9266059790. The cubic root of 3844114900 is about 1566.5062070961.

The spelling of 3844114900 in words is "three billion, eight hundred forty-four million, one hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 937589 1875178 3750356 4687945 9375890 18751780 23439725 38441149 46879450 76882298 93758900 153764596 192205745 384411490 768822980 961028725 1922057450 3844114900