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2343045312 = 263311291201
BaseRepresentation
bin1000101110101000…
…0000100011000000
320001021212000221000
42023222000203000
514244304422222
61024255332000
7112030361616
oct21352004300
96037760830
102343045312
11aa2651693
12554821000
132b4566b5a
141832756b6
15daa759ac
hex8ba808c0

2343045312 has 112 divisors (see below), whose sum is σ = 6899960800. Its totient is φ = 779673600.

The previous prime is 2343045311. The next prime is 2343045371. The reversal of 2343045312 is 2135403432.

2343045312 is a `hidden beast` number, since 2 + 343 + 0 + 4 + 5 + 312 = 666.

It is a super-2 number, since 2×23430453122 = 10979722668170354688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343045311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950312 + ... + 1951512.

Almost surely, 22343045312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449980400).

2343045312 is an abundant number, since it is smaller than the sum of its proper divisors (4556915488).

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

2343045312 is a wasteful number, since it uses less digits than its factorization.

2343045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2343045312 is about 48405.0132940794. The cubic root of 2343045312 is about 1328.1900705351.

Adding to 2343045312 its reverse (2135403432), we get a palindrome (4478448744).

It can be divided in two parts, 23430 and 45312, that multiplied together give a triangular number (1061660160 = T46079).

The spelling of 2343045312 in words is "two billion, three hundred forty-three million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1129 1201 1728 2258 2402 3387 3603 4516 4804 6774 7206 9032 9608 10161 10809 13548 14412 18064 19216 20322 21618 27096 28824 30483 32427 36128 38432 40644 43236 54192 57648 60966 64854 72256 76864 81288 86472 108384 115296 121932 129708 162576 172944 216768 230592 243864 259416 325152 345888 487728 518832 650304 691776 975456 1037664 1355929 1950912 2075328 2711858 4067787 5423716 8135574 10847432 12203361 16271148 21694864 24406722 32542296 36610083 43389728 48813444 65084592 73220166 86779456 97626888 130169184 146440332 195253776 260338368 292880664 390507552 585761328 781015104 1171522656 2343045312