Search a number
-
+
34411132437 = 31117174735111
BaseRepresentation
bin100000000011000100…
…000011011000010101
310021211011121122111120
4200003010003120111
51030433222214222
623450325554153
72325511541163
oct400304033025
9107734548446
1034411132437
1113659207130
126804275959
133325225236
141946220233
15d6601115c
hex803103615

34411132437 has 32 divisors (see below), whose sum is σ = 53028670464. Its totient is φ = 19616659200.

The previous prime is 34411132411. The next prime is 34411132451. The reversal of 34411132437 is 73423111443.

It is not a de Polignac number, because 34411132437 - 26 = 34411132373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34411132398 and 34411132407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34411132477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962512 + ... + 997622.

It is an arithmetic number, because the mean of its divisors is an integer number (1657145952).

Almost surely, 234411132437 is an apocalyptic number.

It is an amenable number.

34411132437 is a deficient number, since it is larger than the sum of its proper divisors (18617538027).

34411132437 is a wasteful number, since it uses less digits than its factorization.

34411132437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36889.

The product of its digits is 24192, while the sum is 33.

The spelling of 34411132437 in words is "thirty-four billion, four hundred eleven million, one hundred thirty-two thousand, four hundred thirty-seven".

Divisors: 1 3 11 17 33 51 187 561 1747 5241 19217 29699 35111 57651 89097 105333 326689 386221 596887 980067 1158663 1790661 6565757 19697271 61338917 184016751 674728087 1042761589 2024184261 3128284767 11470377479 34411132437