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314852850 = 2325213107503
BaseRepresentation
bin10010110001000…
…100010111110010
3210221110011220200
4102301010113302
51121100242400
651124220030
710542130224
oct2261042762
9727404820
10314852850
111517a9674
128953a616
13502cb480
142db5c414
151c994b00
hex12c445f2

314852850 has 144 divisors (see below), whose sum is σ = 921316032. Its totient is φ = 76625280.

The previous prime is 314852843. The next prime is 314852861. The reversal of 314852850 is 58258413.

It is a happy number.

314852850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 625699 + ... + 626201.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2314852850 is an apocalyptic number.

314852850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314852850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460658016).

314852850 is an abundant number, since it is smaller than the sum of its proper divisors (606463182).

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

314852850 is a wasteful number, since it uses less digits than its factorization.

314852850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 314852850 is about 17744.0933834333. The cubic root of 314852850 is about 680.3032456588.

The spelling of 314852850 in words is "three hundred fourteen million, eight hundred fifty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 107 117 130 150 195 214 225 234 321 325 390 450 503 535 585 642 650 963 975 1006 1070 1170 1391 1509 1605 1926 1950 2515 2675 2782 2925 3018 3210 4173 4527 4815 5030 5350 5850 6539 6955 7545 8025 8346 9054 9630 12519 12575 13078 13910 15090 16050 19617 20865 22635 24075 25038 25150 32695 34775 37725 39234 41730 45270 48150 53821 58851 62595 65390 69550 75450 98085 104325 107642 113175 117702 125190 161463 163475 196170 208650 226350 269105 294255 312975 322926 326950 484389 490425 538210 588510 625950 699673 807315 968778 980850 1345525 1399346 1471275 1614630 2099019 2421945 2691050 2942550 3498365 4036575 4198038 4843890 6297057 6996730 8073150 10495095 12109725 12594114 17491825 20990190 24219450 31485285 34983650 52475475 62970570 104950950 157426425 314852850