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314996448 = 25313252401
BaseRepresentation
bin10010110001100…
…111011011100000
3210221201110220010
4102301213123200
51121114341243
651131244520
710543265664
oct2261473340
9727643803
10314996448
11151897548
12895a9740
135034b940
142db988a4
151c9c2433
hex12c676e0

314996448 has 48 divisors (see below), whose sum is σ = 890474256. Its totient is φ = 96921600.

The previous prime is 314996447. The next prime is 314996483. The reversal of 314996448 is 844699413.

It is a happy number.

314996448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 314996397 and 314996406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314996441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124953 + ... + 127448.

It is an arithmetic number, because the mean of its divisors is an integer number (18551547).

Almost surely, 2314996448 is an apocalyptic number.

It is an amenable number.

314996448 is an abundant number, since it is smaller than the sum of its proper divisors (575477808).

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

314996448 is a wasteful number, since it uses less digits than its factorization.

314996448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252427 (or 252419 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 314996448 is about 17748.1392827530. The cubic root of 314996448 is about 680.4066541111.

The spelling of 314996448 in words is "three hundred fourteen million, nine hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 252401 504802 757203 1009604 1514406 2019208 3028812 3281213 4038416 6057624 6562426 8076832 9843639 12115248 13124852 19687278 24230496 26249704 39374556 52499408 78749112 104998816 157498224 314996448