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2342882432 = 271112791301
BaseRepresentation
bin1000101110100101…
…1000110010000000
320001021112202111102
42023221120302000
514244234214212
61024252033532
7112026113012
oct21351306200
96037482442
102342882432
11aa2550280
125547628a8
132b450a987
141832321b2
15daa425c2
hex8ba58c80

2342882432 has 64 divisors (see below), whose sum is σ = 5099673600. Its totient is φ = 1063296000.

The previous prime is 2342882413. The next prime is 2342882441.

2342882432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800182 + ... + 1801482.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 22342882432 is an apocalyptic number.

2342882432 is a gapful number since it is divisible by the number (22) 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 2342882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549836800).

2342882432 is an abundant number, since it is smaller than the sum of its proper divisors (2756791168).

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

2342882432 is a wasteful number, since it uses less digits than its factorization.

2342882432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2593 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 2342882432 is about 48403.3307944815. The cubic root of 2342882432 is about 1328.1592928387.

The spelling of 2342882432 in words is "two billion, three hundred forty-two million, eight hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1279 1301 1408 2558 2602 5116 5204 10232 10408 14069 14311 20464 20816 28138 28622 40928 41632 56276 57244 81856 83264 112552 114488 163712 166528 225104 228976 450208 457952 900416 915904 1663979 1800832 1831808 3327958 6655916 13311832 18303769 26623664 36607538 53247328 73215076 106494656 146430152 212989312 292860304 585720608 1171441216 2342882432