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34479900 = 223252713421
BaseRepresentation
bin1000001110000…
…1111100011100
32101212202112100
42003201330130
532311324100
63231005100
7566034330
oct203417434
971782470
1034479900
1118510294
12b669790
1371b3110
1448177c0
153061400
hex20e1f1c

34479900 has 216 divisors, whose sum is σ = 133331744. Its totient is φ = 7257600.

The previous prime is 34479883. The next prime is 34479931. The reversal of 34479900 is 997443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81690 + ... + 82110.

Almost surely, 234479900 is an apocalyptic number.

34479900 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 34479900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66665872).

34479900 is an abundant number, since it is smaller than the sum of its proper divisors (98851844).

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

34479900 is a wasteful number, since it uses less digits than its factorization.

34479900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34479900 is about 5871.9587873213. The cubic root of 34479900 is about 325.4782701910.

The spelling of 34479900 in words is "thirty-four million, four hundred seventy-nine thousand, nine hundred".