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2340330432 = 263111765183
BaseRepresentation
bin1000101101111110…
…1001101111000000
320001002202002210220
42023133221233000
514243111033212
61024121223040
7111665323536
oct21337515700
96032662726
102340330432
11aa1067990
12553931a80
132b3b2620b
14182b6a156
15da6db38c
hex8b7e9bc0

2340330432 has 112 divisors (see below), whose sum is σ = 7152509952. Its totient is φ = 667463680.

The previous prime is 2340330409. The next prime is 2340330467.

2340330432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3313 + ... + 68495.

It is an arithmetic number, because the mean of its divisors is an integer number (63861696).

Almost surely, 22340330432 is an apocalyptic number.

2340330432 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 2340330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576254976).

2340330432 is an abundant number, since it is smaller than the sum of its proper divisors (4812179520).

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

2340330432 is a wasteful number, since it uses less digits than its factorization.

2340330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65226 (or 65216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2340330432 is about 48376.9617896784. The cubic root of 2340330432 is about 1327.6768822436.

It can be divided in two parts, 23403 and 30432, that added together give a palindrome (53835).

The spelling of 2340330432 in words is "two billion, three hundred forty million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8976 11968 17952 35904 65183 130366 195549 260732 391098 521464 717013 782196 1042928 1108111 1434026 1564392 2085856 2151039 2216222 2868052 3128784 3324333 4171712 4302078 4432444 5736104 6257568 6648666 8604156 8864888 11472208 12189221 12515136 13297332 17208312 17729776 22944416 24378442 26594664 34416624 35459552 36567663 45888832 48756884 53189328 68833248 70919104 73135326 97513768 106378656 137666496 146270652 195027536 212757312 292541304 390055072 585082608 780110144 1170165216 2340330432