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334004330440 = 235113124487121
BaseRepresentation
bin1001101110001000011…
…01011001111111001000
31011221010100001222211001
410313010031121333020
520433020102033230
6413234531544344
733062636652064
oct4670415317710
91157110058731
10334004330440
11119717812030
125489545b0b4
132565b9a04b1
141224730aaa4
158a4cb160ca
hex4dc4359fc8

334004330440 has 64 divisors (see below), whose sum is σ = 846274936320. Its totient is φ = 117538176000.

The previous prime is 334004330411. The next prime is 334004330441. The reversal of 334004330440 is 44033400433.

It is a happy number.

It is a super-2 number, since 2×3340043304402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334004330399 and 334004330408.

It is not an unprimeable number, because it can be changed into a prime (334004330441) 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, 12229921 + ... + 12257200.

It is an arithmetic number, because the mean of its divisors is an integer number (13223045880).

Almost surely, 2334004330440 is an apocalyptic number.

It is an amenable number.

334004330440 is an abundant number, since it is smaller than the sum of its proper divisors (512270605880).

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

334004330440 is a wasteful number, since it uses less digits than its factorization.

334004330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24487174 (or 24487170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 334004330440 its reverse (44033400433), we get a palindrome (378037730873).

The spelling of 334004330440 in words is "three hundred thirty-four billion, four million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 24487121 48974242 97948484 122435605 195896968 244871210 269358331 489742420 538716662 759100751 979484840 1077433324 1346791655 1518201502 2154866648 2693583310 3036403004 3795503755 5387166620 6072806008 7591007510 8350108261 10774333240 15182015020 16700216522 30364030040 33400433044 41750541305 66800866088 83501082610 167002165220 334004330440