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340314912 = 2533756269
BaseRepresentation
bin10100010010001…
…100101100100000
3212201100210022000
4110102030230200
51144110034122
653434044000
711301425520
oct2422145440
9781323260
10340314912
1116510a6a3
1295b79600
1355674a92
14332a9680
151ed240ac
hex1448cb20

340314912 has 96 divisors (see below), whose sum is σ = 1134403200. Its totient is φ = 97231104.

The previous prime is 340314911. The next prime is 340314941. The reversal of 340314912 is 219413043.

340314912 is a `hidden beast` number, since 340 + 314 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340314911) 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, 22087 + ... + 34182.

It is an arithmetic number, because the mean of its divisors is an integer number (11816700).

Almost surely, 2340314912 is an apocalyptic number.

340314912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340314912 is an abundant number, since it is smaller than the sum of its proper divisors (794088288).

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

340314912 is a wasteful number, since it uses less digits than its factorization.

340314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56295 (or 56281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 340314912 is about 18447.6261887539. The cubic root of 340314912 is about 698.1686223536.

Adding to 340314912 its reverse (219413043), we get a palindrome (559727955).

The spelling of 340314912 in words is "three hundred forty million, three hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 56269 112538 168807 225076 337614 393883 450152 506421 675228 787766 900304 1012842 1181649 1350456 1519263 1575532 1800608 2025684 2363298 2700912 3038526 3151064 3544947 4051368 4726596 5401824 6077052 6302128 7089894 8102736 9453192 10634841 12154104 12604256 14179788 16205472 18906384 21269682 24308208 28359576 37812768 42539364 48616416 56719152 85078728 113438304 170157456 340314912