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340214112 = 25327374561
BaseRepresentation
bin10100010001110…
…100000101100000
3212201011200000200
4110101310011200
51144043322422
653431545200
711300525610
oct2421640540
9781150020
10340214112
11165050997
1295b2b200
135563ac34
1433280a40
151ed042ac
hex14474160

340214112 has 144 divisors (see below), whose sum is σ = 1135828512. Its totient is φ = 94556160.

The previous prime is 340214111. The next prime is 340214117. The reversal of 340214112 is 211412043.

340214112 is a `hidden beast` number, since 340 + 214 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340214111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72312 + ... + 76872.

It is an arithmetic number, because the mean of its divisors is an integer number (7887698).

Almost surely, 2340214112 is an apocalyptic number.

340214112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567914256).

340214112 is an abundant number, since it is smaller than the sum of its proper divisors (795614400).

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

340214112 is a wasteful number, since it uses less digits than its factorization.

340214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 340214112 is about 18444.8939275887. The cubic root of 340214112 is about 698.0996839046.

Adding to 340214112 its reverse (211412043), we get a palindrome (551626155).

The spelling of 340214112 in words is "three hundred forty million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4561 4662 5328 6216 8288 9122 9324 10656 12432 13683 18244 18648 24864 27366 31927 36488 37296 41049 54732 63854 72976 74592 82098 95781 109464 127708 145952 164196 168757 191562 218928 255416 287343 328392 337514 383124 437856 506271 510832 574686 656784 675028 766248 1012542 1021664 1149372 1181299 1313568 1350056 1518813 1532496 2025084 2298744 2362598 2700112 3037626 3064992 3543897 4050168 4597488 4725196 5400224 6075252 7087794 8100336 9194976 9450392 10631691 12150504 14175588 16200672 18900784 21263382 24301008 28351176 37801568 42526764 48602016 56702352 85053528 113404704 170107056 340214112