Search a number
-
+
334466136004 = 2271113211395891
BaseRepresentation
bin1001101110111111011…
…11000011011111000100
31011222022112001010221211
410313133233003133010
520434441312323004
6413352430021204
733110245151020
oct4673757033704
91158275033854
10334466136004
11119934461420
12549a4047804
1325703571820
141228c79d380
158a78437504
hex4ddfbc37c4

334466136004 has 96 divisors (see below), whose sum is σ = 789605010432. Its totient is φ = 119717136000.

The previous prime is 334466135977. The next prime is 334466136007. The reversal of 334466136004 is 400631664433.

It is a super-2 number, since 2×3344661360042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334466136007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646899 + ... + 1042789.

It is an arithmetic number, because the mean of its divisors is an integer number (8225052192).

Almost surely, 2334466136004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334466136004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394802505216).

334466136004 is an abundant number, since it is smaller than the sum of its proper divisors (455138874428).

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

334466136004 is a wasteful number, since it uses less digits than its factorization.

334466136004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396137 (or 396135 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 334466136004 in words is "three hundred thirty-four billion, four hundred sixty-six million, one hundred thirty-six thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 211 286 308 364 422 572 844 1001 1477 2002 2321 2743 2954 4004 4642 5486 5908 9284 10972 16247 19201 30173 32494 38402 60346 64988 76804 120692 211211 395891 422422 791782 844844 1583564 2771237 4354801 5146583 5542474 8709602 10293166 11084948 17419204 20586332 30483607 36026081 56612413 60967214 72052162 83533001 113224826 121934428 144104324 167066002 226449652 334132004 396286891 584731007 792573782 918863011 1085929013 1169462014 1585147564 1837726022 2171858026 2338924028 3675452044 4343716052 6432041077 7601503091 11945219143 12864082154 15203006182 23890438286 25728164308 30406012364 47780876572 83616534001 167233068002 334466136004