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328895760 = 24352276037
BaseRepresentation
bin10011100110101…
…000110100010000
3211220212122011110
4103212220310100
51133144131020
652345213320
711102365524
oct2346506420
9756778143
10328895760
11159720286
1292191240
13531a729b
1431975d84
151dd1a8e0
hex139a8d10

328895760 has 80 divisors (see below), whose sum is σ = 1024238016. Its totient is φ = 87304704.

The previous prime is 328895759. The next prime is 328895761. The reversal of 328895760 is 67598823.

It is an interprime number because it is at equal distance from previous prime (328895759) and next prime (328895761).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (328895761) 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, 51462 + ... + 57498.

Almost surely, 2328895760 is an apocalyptic number.

328895760 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 328895760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512119008).

328895760 is an abundant number, since it is smaller than the sum of its proper divisors (695342256).

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

328895760 is a wasteful number, since it uses less digits than its factorization.

328895760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 328895760 is about 18135.4834509588. The cubic root of 328895760 is about 690.2706772521.

The spelling of 328895760 in words is "three hundred twenty-eight million, eight hundred ninety-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6037 6810 9080 10896 12074 13620 18111 18160 24148 27240 30185 36222 48296 54480 60370 72444 90555 96592 120740 144888 181110 241480 289776 362220 482960 724440 1370399 1448880 2740798 4111197 5481596 6851995 8222394 10963192 13703990 16444788 20555985 21926384 27407980 32889576 41111970 54815960 65779152 82223940 109631920 164447880 328895760