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242954316 = 22351131733
BaseRepresentation
bin11100111101100…
…11000001001100
3121221011100200000
432132303001030
5444144014231
640035204300
76010035423
oct1636630114
9557140600
10242954316
111151611a0
1269446690
133b446767
14243a42ba
15164e16e6
hexe7b304c

242954316 has 144 divisors (see below), whose sum is σ = 718169088. Its totient is φ = 71150400.

The previous prime is 242954297. The next prime is 242954317. The reversal of 242954316 is 613459242.

It is a happy number.

242954316 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 (242954317) 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, 331086 + ... + 331818.

Almost surely, 2242954316 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 242954316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359084544).

242954316 is an abundant number, since it is smaller than the sum of its proper divisors (475214772).

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

242954316 is a wasteful number, since it uses less digits than its factorization.

242954316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 242954316 is about 15586.9918842604. The cubic root of 242954316 is about 623.9860388888.

The spelling of 242954316 in words is "two hundred forty-two million, nine hundred fifty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 243 279 297 324 341 372 396 486 558 594 682 733 837 891 972 1023 1116 1188 1364 1466 1674 1782 2046 2199 2511 2673 2932 3069 3348 3564 4092 4398 5022 5346 6138 6597 7533 8063 8796 9207 10044 10692 12276 13194 15066 16126 18414 19791 22723 24189 26388 27621 30132 32252 36828 39582 45446 48378 55242 59373 68169 72567 79164 82863 90892 96756 110484 118746 136338 145134 165726 178119 204507 217701 237492 249953 272676 290268 331452 356238 409014 435402 499906 613521 653103 712476 749859 818028 870804 999812 1227042 1306206 1499718 1840563 1959309 2249577 2454084 2612412 2999436 3681126 3918618 4499154 5521689 6748731 7362252 7837236 8998308 11043378 13497462 20246193 22086756 26994924 40492386 60738579 80984772 121477158 242954316