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343144322028 = 223341499155299
BaseRepresentation
bin1001111111001001111…
…11101101001111101100
31012210201022120200012000
410333210333231033230
521110224421301103
6421345513412300
733535302416634
oct4774477551754
91183638520160
10343144322028
11122588029a92
125660640a090
1326487457041
14128731636c4
158dd5246aa3
hex4fe4fed3ec

343144322028 has 96 divisors (see below), whose sum is σ = 913164000000. Its totient is φ = 111367301760.

The previous prime is 343144321991. The next prime is 343144322029. The reversal of 343144322028 is 820223441343.

343144322028 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 443 + 2 + 202 + 8 = 666.

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 = 343144321983 and 343144322001.

It is not an unprimeable number, because it can be changed into a prime (343144322029) 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, 2131923 + ... + 2287221.

It is an arithmetic number, because the mean of its divisors is an integer number (9512125000).

Almost surely, 2343144322028 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 343144322028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456582000000).

343144322028 is an abundant number, since it is smaller than the sum of its proper divisors (570019677972).

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

343144322028 is a wasteful number, since it uses less digits than its factorization.

343144322028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155852 (or 155844 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 343144322028 in words is "three hundred forty-three billion, one hundred forty-four million, three hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 499 738 998 1107 1476 1497 1996 2214 2994 4428 4491 5988 8982 13473 17964 20459 26946 40918 53892 61377 81836 122754 155299 184131 245508 310598 368262 465897 552393 621196 736524 931794 1104786 1397691 1863588 2209572 2795382 4193073 5590764 6367259 8386146 12734518 16772292 19101777 25469036 38203554 57305331 76407108 77494201 114610662 154988402 171915993 229221324 232482603 309976804 343831986 464965206 687663972 697447809 929930412 1394895618 2092343427 2789791236 3177262241 4184686854 6354524482 8369373708 9531786723 12709048964 19063573446 28595360169 38127146892 57190720338 85786080507 114381440676 171572161014 343144322028