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34101200032 = 2571105114281
BaseRepresentation
bin11111110000100101…
…110000010010100000
310021000120102110011121
4133300211300102200
51024314401400112
623355455022024
72315026263154
oct376045602240
9107016373147
1034101200032
111350a269349
12673850a914
1332a5c5a593
141916dc3064
15d48bde407
hex7f09704a0

34101200032 has 48 divisors (see below), whose sum is σ = 68151875904. Its totient is φ = 16793280000.

The previous prime is 34101200027. The next prime is 34101200059. The reversal of 34101200032 is 23000210143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34101199979 and 34101200015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2380732 + ... + 2395012.

It is an arithmetic number, because the mean of its divisors is an integer number (1419830748).

Almost surely, 234101200032 is an apocalyptic number.

34101200032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34101200032 is a deficient number, since it is larger than the sum of its proper divisors (34050675872).

34101200032 is a wasteful number, since it uses less digits than its factorization.

34101200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34101200032 its reverse (23000210143), we get a palindrome (57101410175).

The spelling of 34101200032 in words is "thirty-four billion, one hundred one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 71 142 284 568 1051 1136 2102 2272 4204 8408 14281 16816 28562 33632 57124 74621 114248 149242 228496 298484 456992 596968 1013951 1193936 2027902 2387872 4055804 8111608 15009331 16223216 30018662 32446432 60037324 120074648 240149296 480298592 1065662501 2131325002 4262650004 8525300008 17050600016 34101200032