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334106092404 = 223273142768317
BaseRepresentation
bin1001101110010100100…
…01100110001101110100
31011221101102120000222200
410313022101212031310
520433222124424104
6413253005024500
733065313633150
oct4671221461564
91157342500880
10334106092404
1111976a1a7327
1254903555130
1325676aacc86
1412256a3a060
158a56a17b39
hex4dca466374

334106092404 has 72 divisors (see below), whose sum is σ = 996330736128. Its totient is φ = 92379562560.

The previous prime is 334106092351. The next prime is 334106092409. The reversal of 334106092404 is 404290601433.

It is a happy number.

334106092404 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 0 + 609 + 2 + 40 + 4 = 666.

It is a super-2 number, since 2×3341060924042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334106092409) 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, 21376347 + ... + 21391970.

Almost surely, 2334106092404 is an apocalyptic number.

It is an amenable number.

334106092404 is an abundant number, since it is smaller than the sum of its proper divisors (662224643724).

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

334106092404 is a wasteful number, since it uses less digits than its factorization.

334106092404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42768365 (or 42768360 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 334106092404 its reverse (404290601433), we get a palindrome (738396693837).

The spelling of 334106092404 in words is "three hundred thirty-four billion, one hundred six million, ninety-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 42768317 85536634 128304951 171073268 256609902 299378219 384914853 513219804 598756438 769829706 898134657 1197512876 1325817827 1539659412 1796269314 2651635654 2694403971 3592538628 3977453481 5303271308 5388807942 7954906962 9280724789 10777615884 11932360443 15909813924 18561449578 23864720886 27842174367 37122899156 47729441772 55684348734 83526523101 111368697468 167053046202 334106092404