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2442488634 = 2331723293989
BaseRepresentation
bin1001000110010101…
…0110101100111010
320022012222021112000
42101211112230322
520000234114014
61042211001430
7114345545055
oct22145265472
96265867460
102442488634
1110437a2953
12581b99276
132cc044161
1419255da9c
15e466a509
hex91956b3a

2442488634 has 128 divisors (see below), whose sum is σ = 6205248000. Its totient is φ = 707503104.

The previous prime is 2442488603. The next prime is 2442488639. The reversal of 2442488634 is 4368842442.

2442488634 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 4 + 8 + 8 + 634 = 666.

2442488634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2442488634.

It is not an unprimeable number, because it can be changed into a prime (2442488639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610312 + ... + 614300.

It is an arithmetic number, because the mean of its divisors is an integer number (48478500).

Almost surely, 22442488634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442488634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624000).

2442488634 is an abundant number, since it is smaller than the sum of its proper divisors (3762759366).

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

2442488634 is a wasteful number, since it uses less digits than its factorization.

2442488634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4063 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 2442488634 is about 49421.5401823942. The cubic root of 2442488634 is about 1346.7206428577.

The spelling of 2442488634 in words is "two billion, four hundred forty-two million, four hundred eighty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 29 34 46 51 54 58 69 87 102 138 153 174 207 261 306 391 414 459 493 522 621 667 782 783 918 986 1173 1242 1334 1479 1566 2001 2346 2958 3519 3989 4002 4437 6003 7038 7978 8874 10557 11339 11967 12006 13311 18009 21114 22678 23934 26622 34017 35901 36018 67813 68034 71802 91747 102051 107703 115681 135626 183494 203439 204102 215406 231362 275241 306153 347043 406878 550482 610317 612306 694086 825723 1041129 1220634 1559699 1651446 1830951 1966577 2082258 2477169 2660663 3119398 3123387 3661902 3933154 4679097 4954338 5321326 5899731 6246774 7981989 9358194 11799462 14037291 15963978 17699193 23945967 28074582 35398386 42111873 45231271 47891934 53097579 71837901 84223746 90462542 106195158 135693813 143675802 271387626 407081439 814162878 1221244317 2442488634