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340023424 = 2713233877
BaseRepresentation
bin10100010001000…
…101100010000000
3212200210222110011
4110101011202000
51144021222144
653423514304
711266102636
oct2421054200
9780728404
10340023424
11164a306a4
1295a58994
13555a21c0
1433231356
151ecb7a34
hex14445880

340023424 has 64 divisors (see below), whose sum is σ = 733463640. Its totient is φ = 156082176.

The previous prime is 340023413. The next prime is 340023433. The reversal of 340023424 is 424320043.

It can be written as a sum of positive squares in 4 ways, for example, as 244609600 + 95413824 = 15640^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 340023395 and 340023404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387274 + ... + 388150.

Almost surely, 2340023424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366731820).

340023424 is an abundant number, since it is smaller than the sum of its proper divisors (393440216).

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

340023424 is a wasteful number, since it uses less digits than its factorization.

340023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 340023424 is about 18439.7240760267. The cubic root of 340023424 is about 697.9692326129.

Adding to 340023424 its reverse (424320043), we get a palindrome (764343467).

The spelling of 340023424 in words is "three hundred forty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 233 416 466 832 877 932 1664 1754 1864 3029 3508 3728 6058 7016 7456 11401 12116 14032 14912 22802 24232 28064 29824 45604 48464 56128 91208 96928 112256 182416 193856 204341 364832 387712 408682 729664 817364 1459328 1634728 2656433 3269456 5312866 6538912 10625732 13077824 21251464 26155648 42502928 85005856 170011712 340023424