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34302048 = 2531122953
BaseRepresentation
bin1000001011011…
…0100001100000
32101112201120020
42002312201200
532240131143
63223113440
7564363654
oct202664140
971481506
1034302048
11183a9700
12b5a2880
137150191
1447aca64
153028883
hex20b6860

34302048 has 72 divisors (see below), whose sum is σ = 99006264. Its totient is φ = 10391040.

The previous prime is 34302029. The next prime is 34302053. The reversal of 34302048 is 84020343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10140 + ... + 13092.

It is an arithmetic number, because the mean of its divisors is an integer number (1375087).

Almost surely, 234302048 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 34302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49503132).

34302048 is an abundant number, since it is smaller than the sum of its proper divisors (64704216).

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

34302048 is a wasteful number, since it uses less digits than its factorization.

34302048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34302048 is about 5856.7950279995. The cubic root of 34302048 is about 324.9176848731.

The spelling of 34302048 in words is "thirty-four million, three hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 2953 3872 5808 5906 8859 11616 11812 17718 23624 32483 35436 47248 64966 70872 94496 97449 129932 141744 194898 259864 283488 357313 389796 519728 714626 779592 1039456 1071939 1429252 1559184 2143878 2858504 3118368 4287756 5717008 8575512 11434016 17151024 34302048