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601242384 = 2431929127179
BaseRepresentation
bin100011110101100…
…011101100010000
31112220100021111110
4203311203230100
52212404224014
6135354413320
720620322151
oct4365435420
91486307443
10601242384
11289427336
12149431240
1397742232
1459bcb928
1537bb5d59
hex23d63b10

601242384 has 160 divisors (see below), whose sum is σ = 1714176000. Its totient is φ = 180859392.

The previous prime is 601242359. The next prime is 601242401. The reversal of 601242384 is 483242106.

It is a super-2 number, since 2×6012423842 = 722984808636006912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3358807 + ... + 3358985.

It is an arithmetic number, because the mean of its divisors is an integer number (10713600).

Almost surely, 2601242384 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 601242384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

601242384 is an abundant number, since it is smaller than the sum of its proper divisors (1112933616).

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

601242384 is a wasteful number, since it uses less digits than its factorization.

601242384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 601242384 is about 24520.2443707236. The cubic root of 601242384 is about 844.0144124281.

The spelling of 601242384 in words is "six hundred one million, two hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 127 152 174 179 228 232 254 304 348 358 381 456 464 508 537 551 696 716 762 912 1016 1074 1102 1392 1432 1524 1653 2032 2148 2204 2413 2864 3048 3306 3401 3683 4296 4408 4826 5191 6096 6612 6802 7239 7366 8592 8816 9652 10203 10382 11049 13224 13604 14478 14732 15573 19304 20406 20764 22098 22733 26448 27208 28956 29464 31146 38608 40812 41528 44196 45466 54416 57912 58928 62292 68199 69977 81624 83056 88392 90932 98629 115824 124584 136398 139954 163248 176784 181864 197258 209931 249168 272796 279908 295887 363728 394516 419862 431927 545592 559816 591774 659257 789032 839724 863854 1091184 1119632 1183548 1295781 1318514 1578064 1679448 1727708 1977771 2367096 2591562 2637028 3358896 3455416 3955542 4734192 5183124 5274056 6910832 7911084 10366248 10548112 12525883 15822168 20732496 25051766 31644336 37577649 50103532 75155298 100207064 150310596 200414128 300621192 601242384