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3806378300 = 2252192837079
BaseRepresentation
bin1110001011100000…
…1011100100111100
3100211021101001102002
43202320023210330
530243413101200
61425411521432
7163216452554
oct34270134474
910737331362
103806378300
11168366839a
128a28b9278
1348878b66a
14281752164
1517427abd5
hexe2e0b93c

3806378300 has 72 divisors (see below), whose sum is σ = 8726524800. Its totient is φ = 1437117120.

The previous prime is 3806378297. The next prime is 3806378309. The reversal of 3806378300 is 38736083.

3806378300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806378309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534161 + ... + 541239.

Almost surely, 23806378300 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 3806378300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363262400).

3806378300 is an abundant number, since it is smaller than the sum of its proper divisors (4920146500).

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

3806378300 is a wasteful number, since it uses less digits than its factorization.

3806378300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 3806378300 is about 61695.8531831759. The cubic root of 3806378300 is about 1561.3633572415.

The spelling of 3806378300 in words is "three billion, eight hundred six million, three hundred seventy-eight thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 283 380 475 566 950 1132 1415 1900 2830 5377 5660 7075 7079 10754 14150 14158 21508 26885 28300 28316 35395 53770 70790 107540 134425 134501 141580 176975 268850 269002 353950 537700 538004 672505 707900 1345010 2003357 2690020 3362525 4006714 6725050 8013428 10016785 13450100 20033570 38063783 40067140 50083925 76127566 100167850 152255132 190318915 200335700 380637830 761275660 951594575 1903189150 3806378300