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34445472 = 2532231609
BaseRepresentation
bin1000001101100…
…1100010100000
32101211000022020
42003121202200
532304223342
63230141440
7565532055
oct203314240
971730266
1034445472
1118497436
12b651880
1371a0549
14480902c
1530560ec
hex20d98a0

34445472 has 48 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 11423232.

The previous prime is 34445443. The next prime is 34445479. The reversal of 34445472 is 27454443.

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

It is not an unprimeable number, because it can be changed into a prime (34445479) 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, 20604 + ... + 22212.

It is an arithmetic number, because the mean of its divisors is an integer number (1893360).

Almost surely, 234445472 is an apocalyptic number.

34445472 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 34445472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

34445472 is an abundant number, since it is smaller than the sum of its proper divisors (56435808).

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

34445472 is a wasteful number, since it uses less digits than its factorization.

34445472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 34445472 is about 5869.0264950842. The cubic root of 34445472 is about 325.3699046648.

The spelling of 34445472 in words is "thirty-four million, four hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1609 1784 2676 3218 3568 4827 5352 6436 7136 9654 10704 12872 19308 21408 25744 38616 51488 77232 154464 358807 717614 1076421 1435228 2152842 2870456 4305684 5740912 8611368 11481824 17222736 34445472