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4342004010 = 2325672233229
BaseRepresentation
bin1000000101100110…
…11011100100101010
3102012121020122202100
410002303123210222
532343023112020
61554504114230
7212412265551
oct40263334452
912177218670
104342004010
111928a47973
12a12165976
13542738256
142d293cd98
151a62cea90
hex102cdb92a

4342004010 has 96 divisors (see below), whose sum is σ = 11512650240. Its totient is φ = 1135119744.

The previous prime is 4342004003. The next prime is 4342004027. The reversal of 4342004010 is 104002434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343076 + ... + 1346304.

It is an arithmetic number, because the mean of its divisors is an integer number (119923440).

Almost surely, 24342004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756325120).

4342004010 is an abundant number, since it is smaller than the sum of its proper divisors (7170646230).

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

4342004010 is a wasteful number, since it uses less digits than its factorization.

4342004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4342004010 is about 65893.8844658592. The cubic root of 4342004010 is about 1631.4110768848.

Adding to 4342004010 its reverse (104002434), we get a palindrome (4446006444).

The spelling of 4342004010 in words is "four billion, three hundred forty-two million, four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 223 335 402 446 603 669 670 1005 1115 1206 1338 2007 2010 2230 3015 3229 3345 4014 6030 6458 6690 9687 10035 14941 16145 19374 20070 29061 29882 32290 44823 48435 58122 74705 89646 96870 134469 145305 149410 216343 224115 268938 290610 432686 448230 649029 672345 720067 1081715 1298058 1344690 1440134 1947087 2160201 2163430 3245145 3600335 3894174 4320402 6480603 6490290 7200670 9735435 10801005 12961206 19470870 21602010 32403015 48244489 64806030 96488978 144733467 241222445 289466934 434200401 482444890 723667335 868400802 1447334670 2171002005 4342004010