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34290048 = 273136869
BaseRepresentation
bin1000001011001…
…1100110000000
32101112010002210
42002303212000
532234240143
63222542120
7564313662
oct202634600
971463083
1034290048
11183a0691
12b597940
137147890
1447a8532
153025033
hex20b3980

34290048 has 64 divisors (see below), whose sum is σ = 98103600. Its totient is φ = 10549248.

The previous prime is 34290007. The next prime is 34290059. The reversal of 34290048 is 84009243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34289997 and 34290024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 8426.

Almost surely, 234290048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49051800).

34290048 is an abundant number, since it is smaller than the sum of its proper divisors (63813552).

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

34290048 is a wasteful number, since it uses less digits than its factorization.

34290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34290048 is about 5855.7704873057. The cubic root of 34290048 is about 324.8797914411.

The spelling of 34290048 in words is "thirty-four million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6869 13738 20607 27476 41214 54952 82428 89297 109904 164856 178594 219808 267891 329712 357188 439616 535782 659424 714376 879232 1071564 1318848 1428752 2143128 2637696 2857504 4286256 5715008 8572512 11430016 17145024 34290048