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2343012240 = 243531417681
BaseRepresentation
bin1000101110100111…
…1000011110010000
320001021210100120010
42023221320132100
514244302342430
61024254514520
7112030163322
oct21351703620
96037710503
102343012240
11aa2629858
12554805a40
132b4554a9a
14183267612
15daa6acb0
hex8ba78790

2343012240 has 160 divisors (see below), whose sum is σ = 7681508352. Its totient is φ = 589824000.

The previous prime is 2343012197. The next prime is 2343012247. The reversal of 2343012240 is 422103432.

It is not an unprimeable number, because it can be changed into a prime (2343012247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301200 + ... + 308880.

Almost surely, 22343012240 is an apocalyptic number.

2343012240 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 2343012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840754176).

2343012240 is an abundant number, since it is smaller than the sum of its proper divisors (5338496112).

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

2343012240 is a wasteful number, since it uses less digits than its factorization.

2343012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2343012240 is about 48404.6716753662. The cubic root of 2343012240 is about 1328.1838213874.

Adding to 2343012240 its reverse (422103432), we get a palindrome (2765115672).

The spelling of 2343012240 in words is "two billion, three hundred forty-three million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 310 328 372 410 465 492 496 615 620 656 744 820 930 984 1230 1240 1271 1488 1640 1860 1968 2460 2480 2542 3280 3720 3813 4920 5084 6355 7440 7626 7681 9840 10168 12710 15252 15362 19065 20336 23043 25420 30504 30724 38130 38405 46086 50840 61008 61448 76260 76810 92172 101680 115215 122896 152520 153620 184344 230430 238111 305040 307240 314921 368688 460860 476222 614480 629842 714333 921720 944763 952444 1190555 1259684 1428666 1574605 1843440 1889526 1904888 2381110 2519368 2857332 3149210 3571665 3779052 3809776 4723815 4762220 5038736 5714664 6298420 7143330 7558104 9447630 9524440 9762551 11429328 12596840 14286660 15116208 18895260 19048880 19525102 25193680 28573320 29287653 37790520 39050204 48812755 57146640 58575306 75581040 78100408 97625510 117150612 146438265 156200816 195251020 234301224 292876530 390502040 468602448 585753060 781004080 1171506120 2343012240