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34453080 = 23335192373
BaseRepresentation
bin1000001101101…
…1011001011000
32101211101202000
42003123121120
532304444310
63230241000
7565563204
oct203333130
971741660
1034453080
11184a2122
12b656160
1371a3b4c
14480bb04
1530584c0
hex20db658

34453080 has 256 divisors, whose sum is σ = 127872000. Its totient is φ = 8211456.

The previous prime is 34453063. The next prime is 34453091. The reversal of 34453080 is 8035443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471924 + ... + 471996.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 234453080 is an apocalyptic number.

34453080 is a gapful number since it is divisible by the number (30) 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 34453080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936000).

34453080 is an abundant number, since it is smaller than the sum of its proper divisors (93418920).

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

34453080 is a wasteful number, since it uses less digits than its factorization.

34453080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34453080 is about 5869.6746076763. The cubic root of 34453080 is about 325.3938578084.

The spelling of 34453080 in words is "thirty-four million, four hundred fifty-three thousand, eighty".