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34621648 = 2419611867
BaseRepresentation
bin1000010000010…
…0100011010000
32102010221222021
42010010203100
532330343043
63234021224
7600164515
oct204044320
972127867
1034621648
11185a7836
12b717814
1372327a9
14485330c
15308d3ed
hex21048d0

34621648 has 40 divisors (see below), whose sum is σ = 71805920. Its totient is φ = 16122240.

The previous prime is 34621633. The next prime is 34621649. The reversal of 34621648 is 84612643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34621649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17611 + ... + 19477.

It is an arithmetic number, because the mean of its divisors is an integer number (1795148).

Almost surely, 234621648 is an apocalyptic number.

34621648 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 34621648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35902960).

34621648 is an abundant number, since it is smaller than the sum of its proper divisors (37184272).

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

34621648 is a wasteful number, since it uses less digits than its factorization.

34621648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 34621648 is about 5884.0163154091. The cubic root of 34621648 is about 325.9236776679.

The spelling of 34621648 in words is "thirty-four million, six hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 976 1159 1867 2318 3734 4636 7468 9272 14936 18544 29872 35473 70946 113887 141892 227774 283784 455548 567568 911096 1822192 2163853 4327706 8655412 17310824 34621648