Search a number
-
+
2352324480 = 273511127877
BaseRepresentation
bin1000110000110101…
…1001111110000000
320001221022110112220
42030031121332000
514304143340410
61025230251040
7112202266602
oct21415317600
96057273486
102352324480
11aa790a220
12557956a80
132b646559c
141845ad172
15db7aa070
hex8c359f80

2352324480 has 256 divisors, whose sum is σ = 8253480960. Its totient is φ = 565125120.

The previous prime is 2352324463. The next prime is 2352324509. The reversal of 2352324480 is 844232532.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2681802 + ... + 2682678.

It is an arithmetic number, because the mean of its divisors is an integer number (32240160).

Almost surely, 22352324480 is an apocalyptic number.

2352324480 is a gapful number since it is divisible by the number (20) 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 2352324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126740480).

2352324480 is an abundant number, since it is smaller than the sum of its proper divisors (5901156480).

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

2352324480 is a wasteful number, since it uses less digits than its factorization.

2352324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2352324480 is about 48500.7678289736. The cubic root of 2352324480 is about 1329.9411058022.

The spelling of 2352324480 in words is "two billion, three hundred fifty-two million, three hundred twenty-four thousand, four hundred eighty".