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314073048 = 233591371619
BaseRepresentation
bin10010101110000…
…101111111011000
3210212222120020010
4102232011333120
51120400314143
651055401520
710532401602
oct2256057730
9725876203
10314073048
11151316803
12892232a0
13500b7553
142d9d8172
151c88da33
hex12b85fd8

314073048 has 64 divisors (see below), whose sum is σ = 804816000. Its totient is φ = 102102272.

The previous prime is 314073047. The next prime is 314073061. The reversal of 314073048 is 840370413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314073041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193183 + ... + 194801.

It is an arithmetic number, because the mean of its divisors is an integer number (12575250).

Almost surely, 2314073048 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 314073048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402408000).

314073048 is an abundant number, since it is smaller than the sum of its proper divisors (490742952).

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

314073048 is a wasteful number, since it uses less digits than its factorization.

314073048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 314073048 is about 17722.1061953708. The cubic root of 314073048 is about 679.7411413794.

The spelling of 314073048 in words is "three hundred fourteen million, seventy-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 137 177 236 274 354 411 472 548 708 822 1096 1416 1619 1644 3238 3288 4857 6476 8083 9714 12952 16166 19428 24249 32332 38856 48498 64664 95521 96996 191042 193992 221803 286563 382084 443606 573126 665409 764168 887212 1146252 1330818 1774424 2292504 2661636 5323272 13086377 26172754 39259131 52345508 78518262 104691016 157036524 314073048