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334485901050 = 235272777114713
BaseRepresentation
bin1001101111000001110…
…10011100111011111010
31011222100220020022111120
410313200322130323322
520440011342313200
6413354413410110
733110605151040
oct4674072347372
91158326208446
10334485901050
11119944631174
12549aa799936
13257076a2012
1412291266390
158a7a03d9a0
hex4de0e9cefa

334485901050 has 96 divisors (see below), whose sum is σ = 948378264192. Its totient is φ = 76425722880.

The previous prime is 334485901021. The next prime is 334485901111. The reversal of 334485901050 is 50109584433.

It is a super-2 number, since 2×3344859010502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334485900993 and 334485901011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858494 + ... + 2973206.

It is an arithmetic number, because the mean of its divisors is an integer number (9878940252).

Almost surely, 2334485901050 is an apocalyptic number.

334485901050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334485901050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474189132096).

334485901050 is an abundant number, since it is smaller than the sum of its proper divisors (613892363142).

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

334485901050 is a wasteful number, since it uses less digits than its factorization.

334485901050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117512 (or 117507 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 334485901050 in words is "three hundred thirty-four billion, four hundred eighty-five million, nine hundred one thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2777 5554 8331 13885 16662 19439 27770 38878 41655 58317 69425 83310 97195 114713 116634 138850 194390 208275 229426 291585 344139 416550 485975 573565 583170 688278 802991 971950 1147130 1457925 1605982 1720695 2408973 2867825 2915850 3441390 4014955 4817946 5735650 8029910 8603475 12044865 17206950 20074775 24089730 40149550 60224325 120448650 318558001 637116002 955674003 1592790005 1911348006 2229906007 3185580010 4459812014 4778370015 6689718021 7963950025 9556740030 11149530035 13379436042 15927900050 22299060070 23891850075 33448590105 47783700150 55747650175 66897180210 111495300350 167242950525 334485901050