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34414128 = 2432734141
BaseRepresentation
bin1000001101000…
…1111000110000
32101202102022100
42003101320300
532302223003
63225340400
7565341510
oct203217060
971672270
1034414128
1118475931
12b637700
13718c1b8
1447db840
15304bba3
hex20d1e30

34414128 has 60 divisors (see below), whose sum is σ = 110073808. Its totient is φ = 9832320.

The previous prime is 34414087. The next prime is 34414139. The reversal of 34414128 is 82141443.

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

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, 16063 + ... + 18078.

Almost surely, 234414128 is an apocalyptic number.

It is an amenable number.

34414128 is an abundant number, since it is smaller than the sum of its proper divisors (75659680).

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

34414128 is a wasteful number, since it uses less digits than its factorization.

34414128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34162 (or 34153 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34414128 is about 5866.3555978137. The cubic root of 34414128 is about 325.2711835205.

It can be divided in two parts, 3441 and 4128, that added together give a square (7569 = 872).

The spelling of 34414128 in words is "thirty-four million, four hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 34141 68282 102423 136564 204846 238987 273128 307269 409692 477974 546256 614538 716961 819384 955948 1229076 1433922 1638768 1911896 2150883 2458152 2867844 3823792 4301766 4916304 5735688 8603532 11471376 17207064 34414128