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242734080 = 2103515803
BaseRepresentation
bin11100111011111…
…01010000000000
3121220202011120010
432131331100000
5444114442310
640030344520
76005130351
oct1635752000
9556664503
10242734080
11115020786
126935b140
133b39a444
1424347d28
151649b320
hexe77d400

242734080 has 88 divisors (see below), whose sum is σ = 776418912. Its totient is φ = 64724992.

The previous prime is 242734049. The next prime is 242734087. The reversal of 242734080 is 80437242.

242734080 is digitally balanced in base 3, 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242734087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7459 + ... + 23261.

Almost surely, 2242734080 is an apocalyptic number.

242734080 is a gapful number since it is divisible by the number (20) 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 242734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388209456).

242734080 is an abundant number, since it is smaller than the sum of its proper divisors (533684832).

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

242734080 is a wasteful number, since it uses less digits than its factorization.

242734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831 (or 15813 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242734080 is about 15579.9255453933. The cubic root of 242734080 is about 623.7974358940.

The spelling of 242734080 in words is "two hundred forty-two million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 15803 31606 47409 63212 79015 94818 126424 158030 189636 237045 252848 316060 379272 474090 505696 632120 758544 948180 1011392 1264240 1517088 1896360 2022784 2528480 3034176 3792720 4045568 5056960 6068352 7585440 8091136 10113920 12136704 15170880 16182272 20227840 24273408 30341760 40455680 48546816 60683520 80911360 121367040 242734080