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334040884452 = 2232112929087503
BaseRepresentation
bin1001101110001100110…
…00110110010011100100
31011221012212212010111100
410313012120312103210
520433103431300302
6413242315240100
733063562445412
oct4670630662344
91157185763440
10334040884452
11119736409660
12548a5749030
132566642b6a2
141224c1042b2
158a50e36d1c
hex4dc66364e4

334040884452 has 72 divisors (see below), whose sum is σ = 952906631040. Its totient is φ = 97734006720.

The previous prime is 334040884451. The next prime is 334040884483. The reversal of 334040884452 is 254488040433.

It is a happy number.

It is a super-2 number, since 2×3340408844522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334040884398 and 334040884407.

It is not an unprimeable number, because it can be changed into a prime (334040884451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14532268 + ... + 14555235.

It is an arithmetic number, because the mean of its divisors is an integer number (13234814320).

Almost surely, 2334040884452 is an apocalyptic number.

It is an amenable number.

334040884452 is an abundant number, since it is smaller than the sum of its proper divisors (618865746588).

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

334040884452 is a wasteful number, since it uses less digits than its factorization.

334040884452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29087553 (or 29087548 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 334040884452 in words is "three hundred thirty-four billion, forty million, eight hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 29087503 58175006 87262509 116350012 174525018 261787527 319962533 349050036 523575054 639925066 843537587 959887599 1047150108 1279850132 1687075174 1919775198 2530612761 2879662797 3374150348 3839550396 5061225522 5759325594 7591838283 9278913457 10122451044 11518651188 15183676566 18557826914 27836740371 30367353132 37115653828 55673480742 83510221113 111346961484 167020442226 334040884452