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34056000 = 2632531143
BaseRepresentation
bin1000000111101…
…0011101000000
32101002020001100
42001322131000
532204243000
63213534400
7562320426
oct201723500
971066040
1034056000
1118250860
12b4a4400
1370951a4
144747116
152ecaa00
hex207a740

34056000 has 336 divisors, whose sum is σ = 135989568. Its totient is φ = 8064000.

The previous prime is 34055993. The next prime is 34056007. The reversal of 34056000 is 65043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34055993) and next prime (34056007).

It is a super-2 number, since 2×340560002 = 2319622272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791979 + ... + 792021.

Almost surely, 234056000 is an apocalyptic number.

34056000 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 34056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67994784).

34056000 is an abundant number, since it is smaller than the sum of its proper divisors (101933568).

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

34056000 is a wasteful number, since it uses less digits than its factorization.

34056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34056000 is about 5835.7518795782. The cubic root of 34056000 is about 324.1389436079.

The spelling of 34056000 in words is "thirty-four million, fifty-six thousand", and thus it is an eban number.