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4364298240 = 21135142067
BaseRepresentation
bin1000001000010000…
…11110100000000000
3102021011012022200120
410010020132200000
532414230020430
62001022020240
7213102631401
oct40410364000
912234168616
104364298240
11193a594955
12a19717680
135472429c3
142d58a39a8
151a8235610
hex10421e800

4364298240 has 96 divisors (see below), whose sum is σ = 13962443040. Its totient is φ = 1163804672.

The previous prime is 4364298209. The next prime is 4364298241. The reversal of 4364298240 is 428924634.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4364298192 and 4364298201.

It is not an unprimeable number, because it can be changed into a prime (4364298241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40314 + ... + 101753.

It is an arithmetic number, because the mean of its divisors is an integer number (145442115).

Almost surely, 24364298240 is an apocalyptic number.

4364298240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4364298240 is an abundant number, since it is smaller than the sum of its proper divisors (9598144800).

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

4364298240 is a wasteful number, since it uses less digits than its factorization.

4364298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142097 (or 142077 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4364298240 is about 66062.8355431403. The cubic root of 4364298240 is about 1634.1984980085.

The spelling of 4364298240 in words is "four billion, three hundred sixty-four million, two hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 142067 284134 426201 568268 710335 852402 1136536 1420670 1704804 2131005 2273072 2841340 3409608 4262010 4546144 5682680 6819216 8524020 9092288 11365360 13638432 17048040 18184576 22730720 27276864 34096080 36369152 45461440 54553728 68192160 72738304 90922880 109107456 136384320 145476608 181845760 218214912 272768640 290953216 363691520 436429824 545537280 727383040 872859648 1091074560 1454766080 2182149120 4364298240