Search a number
-
+
34001110038 = 2371879430841
BaseRepresentation
bin11111101010100111…
…111100010000010110
310020202121002100111210
4133222213330100112
51024113241010123
623341521442250
72312402444460
oct375247742026
9106677070453
1034001110038
1113468816245
12670aaa0386
13328b2b4b2c
1419079ab130
15d4001ce93
hex7ea9fc416

34001110038 has 32 divisors (see below), whose sum is σ = 77758364160. Its totient is φ = 9709410240.

The previous prime is 34001110037. The next prime is 34001110051. The reversal of 34001110038 is 83001110043.

It is a super-2 number, since 2×340011100382 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34001109996 and 34001110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001110037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136503 + ... + 294338.

It is an arithmetic number, because the mean of its divisors is an integer number (2429948880).

Almost surely, 234001110038 is an apocalyptic number.

34001110038 is an abundant number, since it is smaller than the sum of its proper divisors (43757254122).

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

34001110038 is a wasteful number, since it uses less digits than its factorization.

34001110038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432732.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 34001110038 in words is "thirty-four billion, one million, one hundred ten thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 1879 3758 5637 11274 13153 26306 39459 78918 430841 861682 1292523 2585046 3015887 6031774 9047661 18095322 809550239 1619100478 2428650717 4857301434 5666851673 11333703346 17000555019 34001110038