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34211132433 = 334338897577
BaseRepresentation
bin11111110111001001…
…000111010000010001
310021022020021121002000
4133313021013100101
51030031022214213
623414423144213
72320532553612
oct376711072021
9107266247060
1034211132433
1113566324175
1267692a5069
1332c296ac3a
14192783bc09
15d536a6c73
hex7f7247411

34211132433 has 32 divisors (see below), whose sum is σ = 51882019200. Its totient is φ = 22268348928.

The previous prime is 34211132429. The next prime is 34211132447. The reversal of 34211132433 is 33423111243.

It is a happy number.

34211132433 is a `hidden beast` number, since 3 + 4 + 211 + 13 + 2 + 433 = 666.

It is not a de Polignac number, because 34211132433 - 22 = 34211132429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34211132397 and 34211132406.

It is not an unprimeable number, because it can be changed into a prime (34211132533) 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, 4511341 + ... + 4518917.

It is an arithmetic number, because the mean of its divisors is an integer number (1621313100).

Almost surely, 234211132433 is an apocalyptic number.

It is an amenable number.

34211132433 is a deficient number, since it is larger than the sum of its proper divisors (17670886767).

34211132433 is a wasteful number, since it uses less digits than its factorization.

34211132433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11512 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34211132433 its reverse (33423111243), we get a palindrome (67634243676).

It can be divided in two parts, 342111 and 32433, that added together give a square (374544 = 6122).

The spelling of 34211132433 in words is "thirty-four billion, two hundred eleven million, one hundred thirty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 27 43 129 387 1161 3889 7577 11667 22731 35001 68193 105003 167227 204579 325811 501681 977433 1505043 2932299 4515129 8796897 29466953 88400859 265202577 795607731 1267078979 3801236937 11403710811 34211132433