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2344944240 = 243254097963
BaseRepresentation
bin1000101111000101…
…0000001001110000
320001102102111202200
42023301100021300
514300301203430
61024404143200
7112052461062
oct21361201160
96042374680
102344944240
11aa3729351
12555397b00
132b4a80292
1418360b732
15daced460
hex8bc50270

2344944240 has 120 divisors (see below), whose sum is σ = 7895350320. Its totient is φ = 623711232.

The previous prime is 2344944221. The next prime is 2344944289. The reversal of 2344944240 is 424494432.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2344944195 and 2344944204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290499 + ... + 298461.

It is an arithmetic number, because the mean of its divisors is an integer number (65794586).

Almost surely, 22344944240 is an apocalyptic number.

2344944240 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 2344944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947675160).

2344944240 is an abundant number, since it is smaller than the sum of its proper divisors (5550406080).

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

2344944240 is a wasteful number, since it uses less digits than its factorization.

2344944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2344944240 is about 48424.6243144952. The cubic root of 2344944240 is about 1328.5487855018.

The spelling of 2344944240 in words is "two billion, three hundred forty-four million, nine hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 409 720 818 1227 1636 2045 2454 3272 3681 4090 4908 6135 6544 7362 7963 8180 9816 12270 14724 15926 16360 18405 19632 23889 24540 29448 31852 32720 36810 39815 47778 49080 58896 63704 71667 73620 79630 95556 98160 119445 127408 143334 147240 159260 191112 238890 286668 294480 318520 358335 382224 477780 573336 637040 716670 955560 1146672 1433340 1911120 2866680 3256867 5733360 6513734 9770601 13027468 16284335 19541202 26054936 29311803 32568670 39082404 48853005 52109872 58623606 65137340 78164808 97706010 117247212 130274680 146559015 156329616 195412020 234494424 260549360 293118030 390824040 468988848 586236060 781648080 1172472120 2344944240