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34483872 = 253359207
BaseRepresentation
bin1000001110001…
…0111010100000
32101212221222110
42003202322200
532311440442
63231035320
7566052033
oct203427240
971787873
1034483872
1118513275
12b66bb40
1371b4b77
14481901a
15306269c
hex20e2ea0

34483872 has 24 divisors (see below), whose sum is σ = 90520416. Its totient is φ = 11494592.

The previous prime is 34483861. The next prime is 34483903. The reversal of 34483872 is 27838443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×344838722 = 2378274856224768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34483872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179508 + ... + 179699.

It is an arithmetic number, because the mean of its divisors is an integer number (3771684).

Almost surely, 234483872 is an apocalyptic number.

34483872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34483872 is an abundant number, since it is smaller than the sum of its proper divisors (56036544).

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

34483872 is a wasteful number, since it uses less digits than its factorization.

34483872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359220 (or 359212 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 34483872 is about 5872.2969952141. The cubic root of 34483872 is about 325.4907678109.

The spelling of 34483872 in words is "thirty-four million, four hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359207 718414 1077621 1436828 2155242 2873656 4310484 5747312 8620968 11494624 17241936 34483872