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34449152 = 28532539
BaseRepresentation
bin1000001101101…
…0011100000000
32101211012100112
42003122130000
532304333102
63230210452
7565545563
oct203323400
971735315
1034449152
111849a181
12b653a28
1371a211a
14480a4da
153057252
hex20da700

34449152 has 36 divisors (see below), whose sum is σ = 70088760. Its totient is φ = 16892928.

The previous prime is 34449139. The next prime is 34449197. The reversal of 34449152 is 25194443.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 12299 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (1946910).

Almost surely, 234449152 is an apocalyptic number.

34449152 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 34449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35044380).

34449152 is an abundant number, since it is smaller than the sum of its proper divisors (35639608).

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

34449152 is an equidigital number, since it uses as much as digits as its factorization.

34449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2594 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 34449152 is about 5869.3399969673. The cubic root of 34449152 is about 325.3814912735.

The spelling of 34449152 in words is "thirty-four million, four hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 2539 3392 5078 6784 10156 13568 20312 40624 81248 134567 162496 269134 324992 538268 649984 1076536 2153072 4306144 8612288 17224576 34449152