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10343402240 = 28579710139
BaseRepresentation
bin10011010001000001…
…11100101100000000
3222200211221021102212
421220200330230000
5132140402332430
64430211001252
7514214316443
oct115040745400
928624837385
1010343402240
114428643216
122007b99228
13c8aba3572
147019d365a
154080e1b95
hex26883cb00

10343402240 has 72 divisors (see below), whose sum is σ = 24809213520. Its totient is φ = 4131762176.

The previous prime is 10343402219. The next prime is 10343402257. The reversal of 10343402240 is 4220434301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015091 + ... + 1025229.

It is an arithmetic number, because the mean of its divisors is an integer number (344572410).

Almost surely, 210343402240 is an apocalyptic number.

10343402240 is a gapful number since it is divisible by the number (10) 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 10343402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404606760).

10343402240 is an abundant number, since it is smaller than the sum of its proper divisors (14465811280).

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

10343402240 is an equidigital number, since it uses as much as digits as its factorization.

10343402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10343402240 its reverse (4220434301), we get a palindrome (14563836541).

The spelling of 10343402240 in words is "ten billion, three hundred forty-three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 797 1280 1594 3188 3985 6376 7970 10139 12752 15940 20278 25504 31880 40556 50695 51008 63760 81112 101390 102016 127520 162224 202780 204032 255040 324448 405560 510080 648896 811120 1020160 1297792 1622240 2595584 3244480 6488960 8080783 12977920 16161566 32323132 40403915 64646264 80807830 129292528 161615660 258585056 323231320 517170112 646462640 1034340224 1292925280 2068680448 2585850560 5171701120 10343402240