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3107934300 = 2235228336607
BaseRepresentation
bin1011100100111111…
…0101000001011100
322000121010102100210
42321033311001130
522331112344200
61232221452420
7140006001642
oct27117650134
98017112323
103107934300
111355391049
12728a11110
133a6b755a3
14216aa1192
15132cb4650
hexb93f505c

3107934300 has 72 divisors (see below), whose sum is σ = 9024311296. Its totient is φ = 825831360.

The previous prime is 3107934281. The next prime is 3107934307. The reversal of 3107934300 is 34397013.

It is a super-2 number, since 2×31079343002 = 19318511226232980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107934307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66597 + ... + 103203.

Almost surely, 23107934300 is an apocalyptic number.

3107934300 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 3107934300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512155648).

3107934300 is an abundant number, since it is smaller than the sum of its proper divisors (5916376996).

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

3107934300 is a wasteful number, since it uses less digits than its factorization.

3107934300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36907 (or 36900 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3107934300 is about 55748.8502123586. The cubic root of 3107934300 is about 1459.3426546058.

The spelling of 3107934300 in words is "three billion, one hundred seven million, nine hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 28300 36607 42450 73214 84900 109821 146428 183035 219642 366070 439284 549105 732140 915175 1098210 1830350 2196420 2745525 3660700 5491050 10359781 10982100 20719562 31079343 41439124 51798905 62158686 103597810 124317372 155396715 207195620 258994525 310793430 517989050 621586860 776983575 1035978100 1553967150 3107934300