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34371072 = 29327459
BaseRepresentation
bin1000001100011…
…1011000000000
32101200020020200
42003013120000
532244333242
63224405200
7565102131
oct203073000
971606220
1034371072
111844654a
12b616800
137175718
1447c9c88
15303e04c
hex20c7600

34371072 has 60 divisors (see below), whose sum is σ = 99210540. Its totient is φ = 11455488.

The previous prime is 34371049. The next prime is 34371089. The reversal of 34371072 is 27017343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (1653509).

Almost surely, 234371072 is an apocalyptic number.

34371072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49605270).

34371072 is an abundant number, since it is smaller than the sum of its proper divisors (64839468).

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

34371072 is an equidigital number, since it uses as much as digits as its factorization.

34371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 34371072 is about 5862.6847092437. The cubic root of 34371072 is about 325.1354764576.

The spelling of 34371072 in words is "thirty-four million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 7459 14918 22377 29836 44754 59672 67131 89508 119344 134262 179016 238688 268524 358032 477376 537048 716064 954752 1074096 1432128 1909504 2148192 2864256 3819008 4296384 5728512 8592768 11457024 17185536 34371072