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334730574048 = 25313268213601
BaseRepresentation
bin1001101111011110111…
…11110011100011100000
31011222222221121222202110
410313233133303203200
520441012011332143
6413434553515320
733116635635303
oct4675737634340
91158887558673
10334730574048
11119a5a756662
1254a58712b40
132574629ab40
14122b5956b3a
158a9176e533
hex4def7f38e0

334730574048 has 48 divisors (see below), whose sum is σ = 946257587856. Its totient is φ = 102994022400.

The previous prime is 334730574011. The next prime is 334730574067. The reversal of 334730574048 is 840475037433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3347305740482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 334730573988 and 334730574006.

It is a congruent number.

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, 134105553 + ... + 134108048.

It is an arithmetic number, because the mean of its divisors is an integer number (19713699747).

Almost surely, 2334730574048 is an apocalyptic number.

It is an amenable number.

334730574048 is an abundant number, since it is smaller than the sum of its proper divisors (611527013808).

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

334730574048 is a wasteful number, since it uses less digits than its factorization.

334730574048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268213627 (or 268213619 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 334730574048 in words is "three hundred thirty-four billion, seven hundred thirty million, five hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 268213601 536427202 804640803 1072854404 1609281606 2145708808 3218563212 3486776813 4291417616 6437126424 6973553626 8582835232 10460330439 12874252848 13947107252 20920660878 25748505696 27894214504 41841321756 55788429008 83682643512 111576858016 167365287024 334730574048