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340614912 = 28311231753
BaseRepresentation
bin10100010011010…
…101111100000000
3212201221000211010
4110103111330000
51144144134122
653444320520
711304115251
oct2423257400
9781830733
10340614912
111652a5030
12960a3140
135574b4b1
1433346b28
151ed82e0c
hex144d5f00

340614912 has 144 divisors (see below), whose sum is σ = 1032530688. Its totient is φ = 98672640.

The previous prime is 340614877. The next prime is 340614917. The reversal of 340614912 is 219416043.

340614912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 340614912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340614917) 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, 193428 + ... + 195180.

It is an arithmetic number, because the mean of its divisors is an integer number (7170352).

Almost surely, 2340614912 is an apocalyptic number.

340614912 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 340614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516265344).

340614912 is an abundant number, since it is smaller than the sum of its proper divisors (691915776).

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

340614912 is a wasteful number, since it uses less digits than its factorization.

340614912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 340614912 is about 18455.7555250388. The cubic root of 340614912 is about 698.3737157963.

The spelling of 340614912 in words is "three hundred forty million, six hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 1753 2024 2112 2208 2816 2944 3036 3506 4048 4224 4416 5259 5888 6072 7012 8096 8448 8832 10518 12144 14024 16192 17664 19283 21036 24288 28048 32384 38566 40319 42072 48576 56096 57849 64768 77132 80638 84144 97152 112192 115698 120957 154264 161276 168288 194304 224384 231396 241914 308528 322552 336576 443509 448768 462792 483828 617056 645104 673152 887018 925584 967656 1234112 1290208 1330527 1346304 1774036 1851168 1935312 2468224 2580416 2661054 3548072 3702336 3870624 4936448 5160832 5322108 7096144 7404672 7741248 10321664 10644216 14192288 14809344 15482496 21288432 28384576 30964992 42576864 56769152 85153728 113538304 170307456 340614912