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34981128 = 233271319281
BaseRepresentation
bin1000010101110…
…0010100001000
32102211020002100
42011130110020
532423344003
63245433400
7603222540
oct205342410
972736070
1034981128
1118822926
12b86b860
13732a2c0
144908320
15310eba3
hex215c508

34981128 has 192 divisors, whose sum is σ = 123177600. Its totient is φ = 8709120.

The previous prime is 34981103. The next prime is 34981139. The reversal of 34981128 is 82118943.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34981092 and 34981101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124348 + ... + 124628.

It is an arithmetic number, because the mean of its divisors is an integer number (641550).

Almost surely, 234981128 is an apocalyptic number.

34981128 is a gapful number since it is divisible by the number (38) 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 34981128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61588800).

34981128 is an abundant number, since it is smaller than the sum of its proper divisors (88196472).

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

34981128 is a wasteful number, since it uses less digits than its factorization.

34981128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 34981128 is about 5914.4845929295. The cubic root of 34981128 is about 327.0478284837.

The spelling of 34981128 in words is "thirty-four million, nine hundred eighty-one thousand, one hundred twenty-eight".