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4244002434 = 23271712715601
BaseRepresentation
bin1111110011110110…
…0101011010000010
3101221202211122212100
43330331211122002
532142431034214
61541043411230
7210112265640
oct37475453202
911852748770
104244002434
1118886a0931
129a5383b16
13528344259
142c390c190
1519c8c2309
hexfcf65682

4244002434 has 96 divisors (see below), whose sum is σ = 11215466496. Its totient is φ = 1132185600.

The previous prime is 4244002409. The next prime is 4244002439. The reversal of 4244002434 is 4342004424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4244002398 and 4244002407.

It is not an unprimeable number, because it can be changed into a prime (4244002439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264234 + ... + 279834.

It is an arithmetic number, because the mean of its divisors is an integer number (116827776).

Almost surely, 24244002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607733248).

4244002434 is an abundant number, since it is smaller than the sum of its proper divisors (6971464062).

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

4244002434 is a wasteful number, since it uses less digits than its factorization.

4244002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760 (or 15757 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4244002434 is about 65146.0085807258. The cubic root of 4244002434 is about 1619.0435895609.

Adding to 4244002434 its reverse (4342004424), we get a palindrome (8586006858).

The spelling of 4244002434 in words is "four billion, two hundred forty-four million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 127 153 238 254 306 357 381 714 762 889 1071 1143 1778 2142 2159 2286 2667 4318 5334 6477 8001 12954 15113 15601 16002 19431 30226 31202 38862 45339 46803 90678 93606 109207 136017 140409 218414 265217 272034 280818 327621 530434 655242 795651 982863 1591302 1856519 1965726 1981327 2386953 3713038 3962654 4773906 5569557 5943981 11139114 11887962 13869289 16708671 17831943 27738578 33417342 33682559 35663886 41607867 67365118 83215734 101047677 124823601 202095354 235777913 249647202 303143031 471555826 606286062 707333739 1414667478 2122001217 4244002434