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334341301401 = 33316110960077
BaseRepresentation
bin1001101110110000100…
…10110110010010011001
31011221222211010220002000
410313120102312102121
520434212333121101
6413332210231213
733104201112522
oct4673022662231
91157884126060
10334341301401
1111987aa48328
125496a285509
13256b37441b3
1412279d85849
158a6c4c9486
hex4dd84b6499

334341301401 has 64 divisors (see below), whose sum is σ = 524456908800. Its totient is φ = 210217939200.

The previous prime is 334341301391. The next prime is 334341301451. The reversal of 334341301401 is 104103143433.

It is not a de Polignac number, because 334341301401 - 25 = 334341301369 is a prime.

It is a super-2 number, since 2×3343413014012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (334341301451) 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 63 ways as a sum of consecutive naturals, for example, 5535175 + ... + 5595251.

It is an arithmetic number, because the mean of its divisors is an integer number (8194639200).

Almost surely, 2334341301401 is an apocalyptic number.

334341301401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334341301401 is a deficient number, since it is larger than the sum of its proper divisors (190115607399).

334341301401 is a wasteful number, since it uses less digits than its factorization.

334341301401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60287 (or 60281 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 334341301401 its reverse (104103143433), we get a palindrome (438444444834).

The spelling of 334341301401 in words is "three hundred thirty-four billion, three hundred forty-one million, three hundred one thousand, four hundred one".

Divisors: 1 3 9 27 31 61 93 109 183 279 327 549 837 981 1647 1891 2943 3379 5673 6649 10137 17019 19947 30411 51057 59841 60077 91233 179523 180231 206119 540693 618357 1622079 1855071 1862387 3664697 5565213 5587161 6548393 10994091 16761483 19645179 32982273 50284449 58935537 98946819 113605607 176806611 203000183 340816821 399451973 609000549 1022450463 1198355919 1827001647 3067351389 3595067757 5481004941 10785203271 12383011163 37149033489 111447100467 334341301401