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342000143632 = 247210313930469
BaseRepresentation
bin1001111101000001100…
…11000000110100010000
31012200202120121101111101
410332200303000310100
521100404014044012
6421040201554144
733465040153600
oct4764063006420
91180676541441
10342000143632
1112205018a904
12563471a5954
13263343a89c4
14127a5204c00
158d69a85d57
hex4fa0cc0d10

342000143632 has 120 divisors (see below), whose sum is σ = 783917534400. Its totient is φ = 144099502848.

The previous prime is 342000143599. The next prime is 342000143651. The reversal of 342000143632 is 236341000243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 342000143632.

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, 11209294 + ... + 11239762.

It is an arithmetic number, because the mean of its divisors is an integer number (6532646120).

Almost surely, 2342000143632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342000143632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391958767200).

342000143632 is an abundant number, since it is smaller than the sum of its proper divisors (441917390768).

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

342000143632 is a wasteful number, since it uses less digits than its factorization.

342000143632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30733 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 342000143632 its reverse (236341000243), we get a palindrome (578341143875).

The spelling of 342000143632 in words is "three hundred forty-two billion, one hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 139 196 206 278 392 412 556 721 784 824 973 1112 1442 1648 1946 2224 2884 3892 5047 5768 6811 7784 10094 11536 13622 14317 15568 20188 27244 28634 30469 40376 54488 57268 60938 80752 100219 108976 114536 121876 200438 213283 229072 243752 400876 426566 487504 701533 801752 853132 1403066 1492981 1603504 1706264 2806132 2985962 3138307 3412528 4235191 5612264 5971924 6276614 8470382 11224528 11943848 12553228 16940764 21968149 23887696 25106456 29646337 33881528 43936298 50212912 59292674 67763056 87872596 118585348 153777043 175745192 207524359 237170696 307554086 351490384 415048718 436224673 474341392 615108172 830097436 872449346 1230216344 1660194872 1744898692 2460432688 3053572711 3320389744 3489797384 6107145422 6979594768 12214290844 21375008977 24428581688 42750017954 48857163376 85500035908 171000071816 342000143632