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34949472 = 253536869
BaseRepresentation
bin1000010101010…
…0100101100000
32102202121122220
42011110211200
532421340342
63245031040
7603031335
oct205244540
972677586
1034949472
1118801068
12b855480
137318a7c
1448da98c
1531055ec
hex2154960

34949472 has 48 divisors (see below), whose sum is σ = 93486960. Its totient is φ = 11428352.

The previous prime is 34949449. The next prime is 34949477. The reversal of 34949472 is 27494943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34949477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 8522.

It is an arithmetic number, because the mean of its divisors is an integer number (1947645).

Almost surely, 234949472 is an apocalyptic number.

34949472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46743480).

34949472 is an abundant number, since it is smaller than the sum of its proper divisors (58537488).

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

34949472 is a wasteful number, since it uses less digits than its factorization.

34949472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6927 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 34949472 is about 5911.8078453211. The cubic root of 34949472 is about 326.9491452679.

The spelling of 34949472 in words is "thirty-four million, nine hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 6869 13738 20607 27476 41214 54952 82428 109904 164856 219808 329712 364057 659424 728114 1092171 1456228 2184342 2912456 4368684 5824912 8737368 11649824 17474736 34949472