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34052796 = 22324123071
BaseRepresentation
bin1000000111100…
…1101010111100
32101002001122200
42001321222330
532204142141
63213511500
7562305201
oct201715274
971061580
1034052796
1118249408
12b4a2590
1370938ab
144745ca8
152ec9ab6
hex2079abc

34052796 has 36 divisors (see below), whose sum is σ = 88181184. Its totient is φ = 11073600.

The previous prime is 34052773. The next prime is 34052827. The reversal of 34052796 is 69725043.

34052796 is a `hidden beast` number, since 3 + 40 + 527 + 96 = 666.

34052796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34052796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10060 + ... + 13011.

Almost surely, 234052796 is an apocalyptic number.

34052796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34052796 is an abundant number, since it is smaller than the sum of its proper divisors (54128388).

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

34052796 is a wasteful number, since it uses less digits than its factorization.

34052796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23122 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34052796 is about 5835.4773583658. The cubic root of 34052796 is about 324.1287782553.

The spelling of 34052796 in words is "thirty-four million, fifty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 23071 46142 69213 92284 138426 207639 276852 415278 830556 945911 1891822 2837733 3783644 5675466 8513199 11350932 17026398 34052796