Search a number
-
+
34427008 = 277211499
BaseRepresentation
bin1000001101010…
…1000010000000
32101210001222101
42003111002000
532303131013
63225520144
7565424200
oct203250200
971701871
1034427008
1118484580
12b643054
137195015
144802400
1530508dd
hex20d5080

34427008 has 96 divisors (see below), whose sum is σ = 87210000. Its totient is φ = 13386240.

The previous prime is 34426991. The next prime is 34427009. The reversal of 34427008 is 80072443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34427009) 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 11 ways as a sum of consecutive naturals, for example, 68743 + ... + 69241.

Almost surely, 234427008 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 34427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43605000).

34427008 is an abundant number, since it is smaller than the sum of its proper divisors (52782992).

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

34427008 is a wasteful number, since it uses less digits than its factorization.

34427008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 34427008 is about 5867.4532805980. The cubic root of 34427008 is about 325.3117576542.

The spelling of 34427008 in words is "thirty-four million, four hundred twenty-seven thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 499 539 616 704 784 896 998 1078 1232 1408 1568 1996 2156 2464 3136 3493 3992 4312 4928 5489 6272 6986 7984 8624 9856 10978 13972 15968 17248 21956 24451 27944 31936 34496 38423 43912 48902 55888 63872 68992 76846 87824 97804 111776 153692 175648 195608 223552 268961 307384 351296 391216 447104 537922 614768 702592 782432 1075844 1229536 1564864 2151688 2459072 3129728 4303376 4918144 8606752 17213504 34427008