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3400223541 = 311213733983
BaseRepresentation
bin1100101010101011…
…0100101100110101
322202222010020211020
43022222310230311
523430424123131
61321222331353
7150155265111
oct31252645465
98688106736
103400223541
111495379300
127aa889b59
134225a37c0
14243828741
1514d79d996
hexcaab4b35

3400223541 has 48 divisors (see below), whose sum is σ = 5379362688. Its totient is φ = 1897695360.

The previous prime is 3400223539. The next prime is 3400223543. The reversal of 3400223541 is 1453220043.

It is an interprime number because it is at equal distance from previous prime (3400223539) and next prime (3400223543).

It is not a de Polignac number, because 3400223541 - 21 = 3400223539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400223543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3458536 + ... + 3459518.

It is an arithmetic number, because the mean of its divisors is an integer number (112070056).

Almost surely, 23400223541 is an apocalyptic number.

It is an amenable number.

3400223541 is a deficient number, since it is larger than the sum of its proper divisors (1979139147).

3400223541 is a wasteful number, since it uses less digits than its factorization.

3400223541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3400223541 is about 58311.4357652082. The cubic root of 3400223541 is about 1503.7275501292.

Adding to 3400223541 its reverse (1453220043), we get a palindrome (4853443584).

The spelling of 3400223541 in words is "three billion, four hundred million, two hundred twenty-three thousand, five hundred forty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 733 983 1573 2199 2949 4719 8063 9529 10813 12779 24189 28587 32439 38337 88693 104819 118943 140569 266079 314457 356829 421707 720539 1153009 1546259 2161617 3459027 4638777 7925929 9367007 23777787 28101021 87185219 103037077 261555657 309111231 1133407847 3400223541