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30379000 = 2353171787
BaseRepresentation
bin111001111100…
…0101111111000
32010011102011011
41303320233320
530234112000
63003043304
7516134341
oct163705770
963142134
1030379000
111616a213
12a210534
1363a8652
14406b0c8
152a012ba
hex1cf8bf8

30379000 has 64 divisors (see below), whose sum is σ = 75310560. Its totient is φ = 11430400.

The previous prime is 30378947. The next prime is 30379001. The reversal of 30379000 is 97303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30379001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16107 + ... + 17893.

Almost surely, 230379000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37655280).

30379000 is an abundant number, since it is smaller than the sum of its proper divisors (44931560).

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

30379000 is a wasteful number, since it uses less digits than its factorization.

30379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 30379000 is about 5511.7147966853. The cubic root of 30379000 is about 312.0262688818.

The spelling of 30379000 in words is "thirty million, three hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 1787 2125 3400 3574 4250 7148 8500 8935 14296 17000 17870 30379 35740 44675 60758 71480 89350 121516 151895 178700 223375 243032 303790 357400 446750 607580 759475 893500 1215160 1518950 1787000 3037900 3797375 6075800 7594750 15189500 30379000