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314135850 = 23527417297
BaseRepresentation
bin10010101110010…
…101010100101010
3210220002202101010
4102232111110222
51120404321400
651101004350
710533052650
oct2256252452
9726082333
10314135850
11151359a06
12892536b6
135010a002
142da12dd0
151c8a2450
hex12b9552a

314135850 has 96 divisors (see below), whose sum is σ = 912191616. Its totient is φ = 70041600.

The previous prime is 314135849. The next prime is 314135869. The reversal of 314135850 is 58531413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39402 + ... + 46698.

It is an arithmetic number, because the mean of its divisors is an integer number (9501996).

Almost surely, 2314135850 is an apocalyptic number.

314135850 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 314135850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456095808).

314135850 is an abundant number, since it is smaller than the sum of its proper divisors (598055766).

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

314135850 is a wasteful number, since it uses less digits than its factorization.

314135850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 314135850 is about 17723.8779616652. The cubic root of 314135850 is about 679.7864453390.

The spelling of 314135850 in words is "three hundred fourteen million, one hundred thirty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1722 2050 2870 3075 4305 6150 7175 7297 8610 14350 14594 21525 21891 36485 43050 43782 51079 72970 102158 109455 153237 182425 218910 255395 299177 306474 364850 510790 547275 598354 766185 897531 1094550 1276975 1495885 1532370 1795062 2094239 2553950 2991770 3830925 4188478 4487655 6282717 7479425 7661850 8975310 10471195 12565434 14958850 20942390 22438275 31413585 44876550 52355975 62827170 104711950 157067925 314135850