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3000890328 = 2333710731583
BaseRepresentation
bin1011001011011101…
…1111001111011000
321202010201000122020
42302313133033120
522121211442303
61213435254440
7134236101252
oct26267371730
97663630566
103000890328
1112aaa19357
126b8baa420
1338a936867
14206798cd2
151286bca53
hexb2ddf3d8

3000890328 has 64 divisors (see below), whose sum is σ = 7777244160. Its totient is φ = 964135296.

The previous prime is 3000890323. The next prime is 3000890329. The reversal of 3000890328 is 8230980003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000890323) 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, 79225 + ... + 110807.

It is an arithmetic number, because the mean of its divisors is an integer number (121519440).

Almost surely, 23000890328 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 3000890328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888622080).

3000890328 is an abundant number, since it is smaller than the sum of its proper divisors (4776353832).

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

3000890328 is a wasteful number, since it uses less digits than its factorization.

3000890328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31736 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3000890328 is about 54780.3826930773. The cubic root of 3000890328 is about 1442.3922312151.

The spelling of 3000890328 in words is "three billion, eight hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 111 148 214 222 296 321 428 444 642 856 888 1284 2568 3959 7918 11877 15836 23754 31583 31672 47508 63166 94749 95016 126332 189498 252664 378996 757992 1168571 2337142 3379381 3505713 4674284 6758762 7011426 9348568 10138143 13517524 14022852 20276286 27035048 28045704 40552572 81105144 125037097 250074194 375111291 500148388 750222582 1000296776 1500445164 3000890328