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30857400 = 23325273179
BaseRepresentation
bin111010110110…
…1100010111000
32011001201101200
41311231202320
530344414100
63021214200
7523166160
oct165554270
964051350
1030857400
1116466692
12a401360
136515322
1441535a0
152a97e00
hex1d6d8b8

30857400 has 288 divisors, whose sum is σ = 123801600. Its totient is φ = 6739200.

The previous prime is 30857389. The next prime is 30857401. The reversal of 30857400 is 475803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30857401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390561 + ... + 390639.

Almost surely, 230857400 is an apocalyptic number.

30857400 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 30857400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61900800).

30857400 is an abundant number, since it is smaller than the sum of its proper divisors (92944200).

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

30857400 is a wasteful number, since it uses less digits than its factorization.

30857400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30857400 is about 5554.9437440896. The cubic root of 30857400 is about 313.6556464057.

The spelling of 30857400 in words is "thirty million, eight hundred fifty-seven thousand, four hundred".