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241360152 = 233112174889
BaseRepresentation
bin11100110001011…
…01110100011000
3121211011100212220
432120231310120
5443242011102
635541104040
75660345625
oct1630556430
9554140786
10241360152
11114272500
12689b8020
133b008c77
14240ab34c
15162c91bc
hexe62dd18

241360152 has 96 divisors (see below), whose sum is σ = 702399600. Its totient is φ = 68823040.

The previous prime is 241360129. The next prime is 241360187. The reversal of 241360152 is 251063142.

241360152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 46924 + ... + 51812.

Almost surely, 2241360152 is an apocalyptic number.

241360152 is a gapful number since it is divisible by the number (22) 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 241360152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351199800).

241360152 is an abundant number, since it is smaller than the sum of its proper divisors (461039448).

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

241360152 is a wasteful number, since it uses less digits than its factorization.

241360152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 241360152 is about 15535.7700806880. The cubic root of 241360152 is about 622.6182649771.

The spelling of 241360152 in words is "two hundred forty-one million, three hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 4889 6171 8228 9778 12342 14667 16456 19556 24684 29334 39112 49368 53779 58668 83113 107558 117336 161337 166226 215116 249339 322674 332452 430232 498678 591569 645348 664904 914243 997356 1183138 1290696 1774707 1828486 1994712 2366276 2742729 3549414 3656972 4732552 5485458 7098828 7313944 10056673 10970916 14197656 20113346 21941832 30170019 40226692 60340038 80453384 120680076 241360152