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BaseRepresentation
bin1000010011100…
…1101111110100
32102120000212100
42010321233310
532404331130
63242422100
7602063001
oct204715764
972500770
1034839540
111873650a
12b801930
1372aaa18
1448ac8a8
1530d2c60
hex2139bf4

34839540 has 144 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 8605440.

The previous prime is 34839491. The next prime is 34839557. The reversal of 34839540 is 4593843.

34839540 is a `hidden beast` number, since 34 + 83 + 9 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34839495 and 34839504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208537 + ... + 208703.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 234839540 is an apocalyptic number.

34839540 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 34839540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

34839540 is an abundant number, since it is smaller than the sum of its proper divisors (78903180).

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

34839540 is a wasteful number, since it uses less digits than its factorization.

34839540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34839540 is about 5902.5028589574. The cubic root of 34839540 is about 326.6059839152.

The spelling of 34839540 in words is "thirty-four million, eight hundred thirty-nine thousand, five hundred forty".