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34010403000 = 2335374493607
BaseRepresentation
bin11111101011001011…
…011001000010111000
310020210020120111001120
4133223023121002320
51024123130344000
623342452545240
72312544440610
oct375313310270
9106706514046
1034010403000
1113472a93182
126712022220
1332901b9922
141908d09a40
15d40c566a0
hex7eb2d90b8

34010403000 has 256 divisors, whose sum is σ = 121575168000. Its totient is φ = 7754342400.

The previous prime is 34010402989. The next prime is 34010403013. The reversal of 34010403000 is 30401043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9427197 + ... + 9430803.

It is an arithmetic number, because the mean of its divisors is an integer number (474903000).

Almost surely, 234010403000 is an apocalyptic number.

34010403000 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 34010403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60787584000).

34010403000 is an abundant number, since it is smaller than the sum of its proper divisors (87564765000).

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

34010403000 is a wasteful number, since it uses less digits than its factorization.

34010403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 34010403000 its reverse (30401043), we get a palindrome (34040804043).

The spelling of 34010403000 in words is "thirty-four billion, ten million, four hundred three thousand".