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2314607440 = 245414316411
BaseRepresentation
bin1000100111110110…
…0001101101010000
312222022100020111111
42021331201231100
514220014414230
61021402023104
7111233560435
oct21175415520
95868306444
102314607440
11a88598912
125471a7a94
132ab6bac02
1417d591b8c
15d830992a
hex89f61b50

2314607440 has 80 divisors (see below), whose sum is σ = 5641263936. Its totient is φ = 882201600.

The previous prime is 2314607431. The next prime is 2314607447. The reversal of 2314607440 is 447064132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314607447) 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, 132835 + ... + 149245.

Almost surely, 22314607440 is an apocalyptic number.

2314607440 is a gapful number since it is divisible by the number (20) 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 2314607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820631968).

2314607440 is an abundant number, since it is smaller than the sum of its proper divisors (3326656496).

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

2314607440 is a wasteful number, since it uses less digits than its factorization.

2314607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16502 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2314607440 is about 48110.3672819071. The cubic root of 2314607440 is about 1322.7947063539.

The spelling of 2314607440 in words is "two billion, three hundred fourteen million, six hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 80 82 86 164 172 205 215 328 344 410 430 656 688 820 860 1640 1720 1763 3280 3440 3526 7052 8815 14104 16411 17630 28208 32822 35260 65644 70520 82055 131288 141040 164110 262576 328220 656440 672851 705673 1312880 1345702 1411346 2691404 2822692 3364255 3528365 5382808 5645384 6728510 7056730 10765616 11290768 13457020 14113460 26914040 28226920 28932593 53828080 56453840 57865186 115730372 144662965 231460744 289325930 462921488 578651860 1157303720 2314607440