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34242048 = 29332477
BaseRepresentation
bin1000001010011…
…1111000000000
32101102200021000
42002213320000
532231221143
63221532000
7564024021
oct202477000
971380230
1034242048
1118368615
12b574000
13712ba89
144794c48
153015bd3
hex20a7e00

34242048 has 80 divisors (see below), whose sum is σ = 101399760. Its totient is φ = 11409408.

The previous prime is 34242017. The next prime is 34242053. The reversal of 34242048 is 84024243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12586 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (1267497).

Almost surely, 234242048 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 34242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50699880).

34242048 is an abundant number, since it is smaller than the sum of its proper divisors (67157712).

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

34242048 is an equidigital number, since it uses as much as digits as its factorization.

34242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34242048 is about 5851.6705307117. The cubic root of 34242048 is about 324.7281292441.

The spelling of 34242048 in words is "thirty-four million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 2477 3456 4608 4954 6912 7431 9908 13824 14862 19816 22293 29724 39632 44586 59448 66879 79264 89172 118896 133758 158528 178344 237792 267516 317056 356688 475584 535032 634112 713376 951168 1070064 1268224 1426752 1902336 2140128 2853504 3804672 4280256 5707008 8560512 11414016 17121024 34242048