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2340000456 = 233536432861
BaseRepresentation
bin1000101101111001…
…1001001011001000
320001002010100011120
42023132121023020
514243020003311
61024110155240
7111662450523
oct21336311310
96032110146
102340000456
11aa0961a82
125537b2b20
132b3a3bc71
14182ac1bba
15da673706
hex8b7992c8

2340000456 has 64 divisors (see below), whose sum is σ = 5971734720. Its totient is φ = 763825920.

The previous prime is 2340000451. The next prime is 2340000457. The reversal of 2340000456 is 6540000432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2340000451) 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, 816466 + ... + 819326.

It is an arithmetic number, because the mean of its divisors is an integer number (93308355).

Almost surely, 22340000456 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 2340000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985867360).

2340000456 is an abundant number, since it is smaller than the sum of its proper divisors (3631734264).

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

2340000456 is a wasteful number, since it uses less digits than its factorization.

2340000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2340000456 is about 48373.5512031110. The cubic root of 2340000456 is about 1327.6144805000.

Subtracting from 2340000456 its sum of digits (24), we obtain a palindrome (2340000432).

Adding to 2340000456 its reverse (6540000432), we get a palindrome (8880000888).

The spelling of 2340000456 in words is "two billion, three hundred forty million, four hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 643 1272 1286 1929 2572 2861 3858 5144 5722 7716 8583 11444 15432 17166 22888 34079 34332 68158 68664 102237 136316 151633 204474 272632 303266 408948 454899 606532 817896 909798 1213064 1819596 1839623 3639192 3679246 5518869 7358492 11037738 14716984 22075476 44150952 97500019 195000038 292500057 390000076 585000114 780000152 1170000228 2340000456