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34000123840 = 265106250387
BaseRepresentation
bin11111101010100100…
…001011011111000000
310020202112020020200221
4133222210023133000
51024113012430330
623341444352424
72312361166324
oct375244133700
9106675206627
1034000123840
1113468202301
12670a6a5714
13328b02ac97
1419077d1984
15d3edc5b7a
hex7ea90b7c0

34000123840 has 28 divisors (see below), whose sum is σ = 80962795656. Its totient is φ = 13600049408.

The previous prime is 34000123799. The next prime is 34000123841. The reversal of 34000123840 is 4832100043.

It is a super-2 number, since 2×340001238402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000123841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53124874 + ... + 53125513.

Almost surely, 234000123840 is an apocalyptic number.

It is an amenable number.

34000123840 is an abundant number, since it is smaller than the sum of its proper divisors (46962671816).

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

34000123840 is a wasteful number, since it uses less digits than its factorization.

34000123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106250404 (or 106250394 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34000123840 its reverse (4832100043), we get a palindrome (38832223883).

The spelling of 34000123840 in words is "thirty-four billion, one hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 106250387 212500774 425001548 531251935 850003096 1062503870 1700006192 2125007740 3400012384 4250015480 6800024768 8500030960 17000061920 34000123840