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340005434520 = 233515711803551
BaseRepresentation
bin1001111001010011110…
…01110011010010011000
31012111121120012200000010
410330221321303102120
521032312342401040
6420110224241520
733364436336253
oct4745171632230
91174546180003
10340005434520
11121217227384
1255a8b1702a0
13260a706495b
141265632609a
158c9e8bae80
hex4f29e73498

340005434520 has 64 divisors (see below), whose sum is σ = 1020666147840. Its totient is φ = 90610352000.

The previous prime is 340005434519. The next prime is 340005434521. The reversal of 340005434520 is 25434500043.

340005434520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340005434519) and next prime (340005434521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340005434521) 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, 713256 + ... + 1090295.

It is an arithmetic number, because the mean of its divisors is an integer number (15947908560).

Almost surely, 2340005434520 is an apocalyptic number.

340005434520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340005434520 is an abundant number, since it is smaller than the sum of its proper divisors (680660713320).

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

340005434520 is a wasteful number, since it uses less digits than its factorization.

340005434520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805136 (or 1805132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 340005434520 its reverse (25434500043), we get a palindrome (365439934563).

The spelling of 340005434520 in words is "three hundred forty billion, five million, four hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1571 3142 4713 6284 7855 9426 12568 15710 18852 23565 31420 37704 47130 62840 94260 188520 1803551 3607102 5410653 7214204 9017755 10821306 14428408 18035510 21642612 27053265 36071020 43285224 54106530 72142040 108213060 216426120 2833378621 5666757242 8500135863 11333514484 14166893105 17000271726 22667028968 28333786210 34000543452 42500679315 56667572420 68001086904 85001358630 113335144840 170002717260 340005434520