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34804944 = 243380567
BaseRepresentation
bin1000010011000…
…1010011010000
32102111021102000
42010301103100
532402224234
63241554000
7601560066
oct204612320
972437360
1034804944
1118712519
12b7a5900
137298055
1448a0036
1530c7899
hex21314d0

34804944 has 40 divisors (see below), whose sum is σ = 99904320. Its totient is φ = 11601504.

The previous prime is 34804937. The next prime is 34804961. The reversal of 34804944 is 44940843.

It is a super-2 number, since 2×348049442 = 2422768253686272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34804899 and 34804908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39852 + ... + 40715.

It is an arithmetic number, because the mean of its divisors is an integer number (2497608).

Almost surely, 234804944 is an apocalyptic number.

It is an amenable number.

34804944 is an abundant number, since it is smaller than the sum of its proper divisors (65099376).

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

34804944 is a wasteful number, since it uses less digits than its factorization.

34804944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80584 (or 80572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34804944 is about 5899.5715098641. The cubic root of 34804944 is about 326.4978404785.

The spelling of 34804944 in words is "thirty-four million, eight hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 80567 161134 241701 322268 483402 644536 725103 966804 1289072 1450206 1933608 2175309 2900412 3867216 4350618 5800824 8701236 11601648 17402472 34804944