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314540200 = 235213120977
BaseRepresentation
bin10010101111111…
…000000010101000
3210220212022001001
4102233320002220
51121010241300
651113404344
710536355552
oct2257700250
9726768031
10314540200
11151605787
12894096b4
135021c080
142daba4d2
151c93216a
hex12bf80a8

314540200 has 48 divisors (see below), whose sum is σ = 787566780. Its totient is φ = 116136960.

The previous prime is 314540197. The next prime is 314540201. The reversal of 314540200 is 2045413.

It can be written as a sum of positive squares in 6 ways, for example, as 33709636 + 280830564 = 5806^2 + 16758^2 .

It is not an unprimeable number, because it can be changed into a prime (314540201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57889 + ... + 63088.

Almost surely, 2314540200 is an apocalyptic number.

It is an amenable number.

314540200 is an abundant number, since it is smaller than the sum of its proper divisors (473026580).

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

314540200 is a wasteful number, since it uses less digits than its factorization.

314540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121006 (or 120997 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 314540200 is about 17735.2812213396. The cubic root of 314540200 is about 680.0779899015.

Adding to 314540200 its reverse (2045413), we get a palindrome (316585613).

The spelling of 314540200 in words is "three hundred fourteen million, five hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 120977 241954 483908 604885 967816 1209770 1572701 2419540 3024425 3145402 4839080 6048850 6290804 7863505 12097700 12581608 15727010 24195400 31454020 39317525 62908040 78635050 157270100 314540200