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2435342840 = 235743832437
BaseRepresentation
bin1001000100101000…
…0110000111111000
320021201112020022222
42101022012013320
514441421432330
61041353503212
7114231033620
oct22112060770
96251466288
102435342840
11103a762137
1257b711b08
132ca711788
1419161d880
15e3c080e5
hex912861f8

2435342840 has 128 divisors (see below), whose sum is σ = 6487810560. Its totient is φ = 805400064.

The previous prime is 2435342839. The next prime is 2435342881. The reversal of 2435342840 is 482435342.

It is a super-3 number, since 3×24353428403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2435342840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998102 + ... + 1000538.

It is an arithmetic number, because the mean of its divisors is an integer number (50686020).

Almost surely, 22435342840 is an apocalyptic number.

2435342840 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 2435342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243905280).

2435342840 is an abundant number, since it is smaller than the sum of its proper divisors (4052467720).

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

2435342840 is a wasteful number, since it uses less digits than its factorization.

2435342840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 2435342840 is about 49349.1929012015. The cubic root of 2435342840 is about 1345.4060289797.

The spelling of 2435342840 in words is "two billion, four hundred thirty-five million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 83 86 140 166 172 215 280 301 332 344 415 430 581 602 664 830 860 1162 1204 1505 1660 1720 2324 2408 2437 2905 3010 3320 3569 4648 4874 5810 6020 7138 9748 11620 12040 12185 14276 17059 17845 19496 23240 24370 24983 28552 34118 35690 48740 49966 68236 71380 85295 97480 99932 104791 124915 136472 142760 170590 199864 202271 209582 249830 341180 404542 419164 499660 523955 682360 733537 809084 838328 999320 1011355 1047910 1415897 1467074 1618168 2022710 2095820 2831794 2934148 3667685 4045420 4191640 5663588 5868296 7079485 7335370 8090840 8697653 11327176 14158970 14670740 17395306 28317940 29341480 34790612 43488265 56635880 60883571 69581224 86976530 121767142 173953060 243534284 304417855 347906120 487068568 608835710 1217671420 2435342840