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343404404343 = 3271113172242231
BaseRepresentation
bin1001111111101000111…
…11110101111001110111
31012211101102222020001100
410333310133311321313
521111243011414333
6421431404101143
733544611163260
oct4776437657167
91184342866040
10343404404343
11122700919750
12566795347b3
13264c92b98c0
1412899905967
158decebd213
hex4ff47f5e77

343404404343 has 96 divisors (see below), whose sum is σ = 705172995072. Its totient is φ = 154982937600.

The previous prime is 343404404341. The next prime is 343404404389.

343404404343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343404404343 - 21 = 343404404341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343404404298 and 343404404307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343404404341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 967963 + ... + 1274268.

It is an arithmetic number, because the mean of its divisors is an integer number (7345552032).

Almost surely, 2343404404343 is an apocalyptic number.

343404404343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343404404343 is an abundant number, since it is smaller than the sum of its proper divisors (361768590729).

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

343404404343 is a wasteful number, since it uses less digits than its factorization.

343404404343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242285 (or 2242282 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 343404 and 404343, that added together give a palindrome (747747).

The spelling of 343404404343 in words is "three hundred forty-three billion, four hundred four million, four hundred four thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 13 17 21 33 39 51 63 77 91 99 117 119 143 153 187 221 231 273 357 429 561 663 693 819 1001 1071 1287 1309 1547 1683 1989 2431 3003 3927 4641 7293 9009 11781 13923 17017 21879 51051 153153 2242231 6726693 15695617 20180079 24664541 29149003 38117927 47086851 73993623 87447009 114353781 141260553 172651787 204043021 221980869 262341027 266825489 320639033 343061343 419297197 495533051 517955361 612129063 800476467 961917099 1257891591 1486599153 1553866083 1836387189 2244473231 2401429401 2885751297 2935080379 3468731357 3773674773 4459797459 5450863561 6733419693 8805241137 10406194071 16352590683 20200259079 26415723411 31218582213 38156044927 49057772049 114468134781 343404404343