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2240406234 = 2321121760509
BaseRepresentation
bin1000010110001001…
…1110001011011010
312210010201102120200
42011202132023122
514042020444414
61010151403030
7106343065413
oct20542361332
95703642520
102240406234
11a4a718400
12526383476
1329920b081
1417379880a
15d1a4e109
hex8589e2da

2240406234 has 72 divisors (see below), whose sum is σ = 5649576660. Its totient is φ = 638964480.

The previous prime is 2240406221. The next prime is 2240406247. The reversal of 2240406234 is 4326040422.

2240406234 is a `hidden beast` number, since 2 + 24 + 0 + 406 + 234 = 666.

It is an interprime number because it is at equal distance from previous prime (2240406221) and next prime (2240406247).

It can be written as a sum of positive squares in 2 ways, for example, as 1815015609 + 425390625 = 42603^2 + 20625^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2240406198 and 2240406207.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6772 + ... + 67280.

Almost surely, 22240406234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240406234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824788330).

2240406234 is an abundant number, since it is smaller than the sum of its proper divisors (3409170426).

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

2240406234 is a wasteful number, since it uses less digits than its factorization.

2240406234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60556 (or 60542 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2240406234 is about 47332.9297001570. The cubic root of 2240406234 is about 1308.5056156249.

Adding to 2240406234 its reverse (4326040422), we get a palindrome (6566446656).

The spelling of 2240406234 in words is "two billion, two hundred forty million, four hundred six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 60509 121018 181527 363054 544581 665599 1028653 1089162 1331198 1996797 2057306 3085959 3993594 5990391 6171918 7321589 9257877 11315183 11980782 14643178 18515754 21964767 22630366 33945549 43929534 65894301 67891098 101836647 124467013 131788602 203673294 248934026 373401039 746802078 1120203117 2240406234