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2357123328 = 283575413
BaseRepresentation
bin1000110001111110…
…1101100100000000
320002021100021100000
42030133231210000
514311410421303
61025521200000
7112261134450
oct21437554400
96067307300
102357123328
11aaa59770a
12559490000
132b7455941
1418509bd60
15dbe06da3
hex8c7ed900

2357123328 has 216 divisors, whose sum is σ = 8056205248. Its totient is φ = 673339392.

The previous prime is 2357123317. The next prime is 2357123339. The reversal of 2357123328 is 8233217532.

It is an interprime number because it is at equal distance from previous prime (2357123317) and next prime (2357123339).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2357123292 and 2357123301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432750 + ... + 438162.

Almost surely, 22357123328 is an apocalyptic number.

2357123328 is a gapful number since it is divisible by the number (28) 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 2357123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028102624).

2357123328 is an abundant number, since it is smaller than the sum of its proper divisors (5699081920).

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

2357123328 is an frugal number, since it uses more digits than its factorization.

2357123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5425 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2357123328 is about 48550.2145000411. The cubic root of 2357123328 is about 1330.8448714463.

The spelling of 2357123328 in words is "two billion, three hundred fifty-seven million, one hundred twenty-three thousand, three hundred twenty-eight".