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34000077 = 3371571951
BaseRepresentation
bin1000000110110…
…0110011001101
32100222101100010
42001230303031
532201000302
63212423433
7561665406
oct201546315
970871303
1034000077
1118212841
12b477b79
1370758b7
1447309ad
152eb916c
hex206cccd

34000077 has 16 divisors (see below), whose sum is σ = 46879232. Its totient is φ = 21902400.

The previous prime is 34000067. The next prime is 34000081. The reversal of 34000077 is 77000043.

It is not a de Polignac number, because 34000077 - 24 = 34000061 is a prime.

It is a Duffinian number.

34000077 is a modest number, since divided by 77 gives 34 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000067) 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, 16452 + ... + 18402.

It is an arithmetic number, because the mean of its divisors is an integer number (2929952).

Almost surely, 234000077 is an apocalyptic number.

34000077 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34000077 is a deficient number, since it is larger than the sum of its proper divisors (12879155).

34000077 is a wasteful number, since it uses less digits than its factorization.

34000077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 34000077 is about 5830.9584975371. The cubic root of 34000077 is about 323.9614246865.

The spelling of 34000077 in words is "thirty-four million, seventy-seven", and thus it is an aban number.

Divisors: 1 3 37 111 157 471 1951 5809 5853 17427 72187 216561 306307 918921 11333359 34000077