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34538988 = 223112331123
BaseRepresentation
bin1000001111000…
…0010111101100
32101222202120210
42003300113230
532320221423
63232142420
7566401521
oct203602754
971882523
1034538988
1118550720
12b697a10
137203c93
144831148
153073b93
hex20f05ec

34538988 has 48 divisors (see below), whose sum is σ = 88373376. Its totient is φ = 10412160.

The previous prime is 34538983. The next prime is 34538989. The reversal of 34538988 is 88983543.

It is not an unprimeable number, because it can be changed into a prime (34538981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30195 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (1841112).

Almost surely, 234538988 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 34538988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44186688).

34538988 is an abundant number, since it is smaller than the sum of its proper divisors (53834388).

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

34538988 is a wasteful number, since it uses less digits than its factorization.

34538988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1372 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 34538988 is about 5876.9880040715. The cubic root of 34538988 is about 325.6640874801.

The spelling of 34538988 in words is "thirty-four million, five hundred thirty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1123 1398 2246 2563 2796 3369 4492 5126 6738 7689 10252 12353 13476 15378 24706 30756 37059 49412 74118 148236 261659 523318 784977 1046636 1569954 2878249 3139908 5756498 8634747 11512996 17269494 34538988