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34075220820 = 22352324692189
BaseRepresentation
bin11111101111000010…
…101001101101010100
310020221202112120101120
4133233002221231110
51024241224031240
623353130123540
72314262412054
oct375702515524
9106852476346
1034075220820
11134a6634823
12672b8805b0
1332a0762774
14191377d564
15d467abad0
hex7ef0a9b54

34075220820 has 48 divisors (see below), whose sum is σ = 99558910080. Its totient is φ = 8691650176.

The previous prime is 34075220819. The next prime is 34075220821. The reversal of 34075220820 is 2802257043.

It is an interprime number because it is at equal distance from previous prime (34075220819) and next prime (34075220821).

It is a super-2 number, since 2×340752208202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34075220821) 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, 12344715 + ... + 12347474.

It is an arithmetic number, because the mean of its divisors is an integer number (2074143960).

Almost surely, 234075220820 is an apocalyptic number.

34075220820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34075220820 is an abundant number, since it is smaller than the sum of its proper divisors (65483689260).

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

34075220820 is a wasteful number, since it uses less digits than its factorization.

34075220820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24692224 (or 24692222 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 34075220820 its reverse (2802257043), we get a palindrome (36877477863).

The spelling of 34075220820 in words is "thirty-four billion, seventy-five million, two hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 24692189 49384378 74076567 98768756 123460945 148153134 246921890 296306268 370382835 493843780 567920347 740765670 1135840694 1481531340 1703761041 2271681388 2839601735 3407522082 5679203470 6815044164 8518805205 11358406940 17037610410 34075220820