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242730576 = 243211293523
BaseRepresentation
bin11100111011111…
…00011001010000
3121220201222202100
432131330121100
5444114334301
640030320400
76005114214
oct1635743120
9556658670
10242730576
11115019090
1269359100
133b39897a
1424346944
151649a286
hexe77c650

242730576 has 120 divisors (see below), whose sum is σ = 745014816. Its totient is φ = 73163520.

The previous prime is 242730559. The next prime is 242730583. The reversal of 242730576 is 675037242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242730576.

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, 463851 + ... + 464373.

Almost surely, 2242730576 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 242730576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372507408).

242730576 is an abundant number, since it is smaller than the sum of its proper divisors (502284240).

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

242730576 is a wasteful number, since it uses less digits than its factorization.

242730576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 242730576 is about 15579.8130925888. The cubic root of 242730576 is about 623.7944342598.

The spelling of 242730576 in words is "two hundred forty-two million, seven hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 293 396 523 528 586 792 879 1046 1172 1569 1584 1758 2092 2344 2637 3138 3223 3516 4184 4688 4707 5274 5753 6276 6446 7032 8368 9414 9669 10548 11506 12552 12892 14064 17259 18828 19338 21096 23012 25104 25784 29007 34518 37656 38676 42192 46024 51568 51777 58014 69036 75312 77352 92048 103554 116028 138072 153239 154704 207108 232056 276144 306478 414216 459717 464112 612956 828432 919434 1225912 1379151 1685629 1838868 2451824 2758302 3371258 3677736 5056887 5516604 6742516 7355472 10113774 11033208 13485032 15170661 20227548 22066416 26970064 30341322 40455096 60682644 80910192 121365288 242730576