Search a number
-
+
334015510428 = 223262131149333
BaseRepresentation
bin1001101110001001110…
…00000011011110011100
31011221011010002222212200
410313010320003132130
520433030432313203
6413240011331500
733063133664565
oct4670470033634
91157133088780
10334015510428
11119723058796
1254899150b90
13256610b6182
14122489bb16c
158a4dac39a3
hex4dc4e0379c

334015510428 has 36 divisors (see below), whose sum is σ = 844336228008. Its totient is φ = 111335965920.

The previous prime is 334015510427. The next prime is 334015510453. The reversal of 334015510428 is 824015510433.

334015510428 is a `hidden beast` number, since 33 + 40 + 155 + 10 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3340155104282 (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 junction number, because it is equal to n+sod(n) for n = 334015510392 and 334015510401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334015510427) 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 11 ways as a sum of consecutive naturals, for example, 2162050 + ... + 2311382.

Almost surely, 2334015510428 is an apocalyptic number.

It is an amenable number.

334015510428 is an abundant number, since it is smaller than the sum of its proper divisors (510320717580).

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

334015510428 is a wasteful number, since it uses less digits than its factorization.

334015510428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211474 (or 211469 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 334015510428 in words is "three hundred thirty-four billion, fifteen million, five hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 62131 124262 149333 186393 248524 298666 372786 447999 559179 597332 745572 895998 1118358 1343997 1791996 2236716 2687994 5375988 9278208623 18556417246 27834625869 37112834492 55669251738 83503877607 111338503476 167007755214 334015510428