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242751384 = 233323131373
BaseRepresentation
bin11100111100000…
…01011110011000
3121220210001022000
432132001132120
5444121021014
640031001000
76005231661
oct1636013630
9556701260
10242751384
11115032787
1269369160
133b3a5295
1424350368
15164a1509
hexe781798

242751384 has 128 divisors (see below), whose sum is σ = 710899200. Its totient is φ = 76602240.

The previous prime is 242751371. The next prime is 242751389. The reversal of 242751384 is 483157242.

It is a happy number.

242751384 is a `hidden beast` number, since 2 + 4 + 275 + 1 + 384 = 666.

242751384 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242751389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650622 + ... + 650994.

It is an arithmetic number, because the mean of its divisors is an integer number (5553900).

Almost surely, 2242751384 is an apocalyptic number.

242751384 is a gapful number since it is divisible by the number (24) 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 242751384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

242751384 is an abundant number, since it is smaller than the sum of its proper divisors (468147816).

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

242751384 is a wasteful number, since it uses less digits than its factorization.

242751384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 242751384 is about 15580.4808654932. The cubic root of 242751384 is about 623.8122586091.

The spelling of 242751384 in words is "two hundred forty-two million, seven hundred fifty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 131 138 184 207 216 262 276 373 393 414 524 552 621 746 786 828 1048 1119 1179 1242 1492 1572 1656 2238 2358 2484 2984 3013 3144 3357 3537 4476 4716 4968 6026 6714 7074 8579 8952 9039 9432 10071 12052 13428 14148 17158 18078 20142 24104 25737 26856 27117 28296 34316 36156 40284 48863 51474 54234 68632 72312 77211 80568 81351 97726 102948 108468 146589 154422 162702 195452 205896 216936 231633 293178 308844 325404 390904 439767 463266 586356 617688 650808 879534 926532 1123849 1172712 1319301 1759068 1853064 2247698 2638602 3371547 3518136 4495396 5277204 6743094 8990792 10114641 10554408 13486188 20229282 26972376 30343923 40458564 60687846 80917128 121375692 242751384