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242364696 = 233731173269
BaseRepresentation
bin11100111001000…
…11000100011000
3121220001101212020
432130203010120
5444021132241
640014414440
76002031420
oct1634430430
9556041766
10242364696
11114899202
1269201420
133b29b282
142428d480
1516426b66
hexe723118

242364696 has 128 divisors (see below), whose sum is σ = 721612800. Its totient is φ = 66378240.

The previous prime is 242364691. The next prime is 242364697. The reversal of 242364696 is 696463242.

242364696 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242364691) 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, 900850 + ... + 901118.

It is an arithmetic number, because the mean of its divisors is an integer number (5637600).

Almost surely, 2242364696 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 242364696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360806400).

242364696 is an abundant number, since it is smaller than the sum of its proper divisors (479248104).

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

242364696 is a wasteful number, since it uses less digits than its factorization.

242364696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 242364696 is about 15568.0665466204. The cubic root of 242364696 is about 623.4808510769.

The spelling of 242364696 in words is "two hundred forty-two million, three hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 173 186 217 248 269 346 372 434 519 538 651 692 744 807 868 1038 1076 1211 1302 1384 1614 1736 1883 2076 2152 2422 2604 3228 3633 3766 4152 4844 5208 5363 5649 6456 7266 7532 8339 9688 10726 11298 14532 15064 16089 16678 21452 22596 25017 29064 32178 33356 37541 42904 45192 46537 50034 58373 64356 66712 75082 93074 100068 112623 116746 128712 139611 150164 175119 186148 200136 225246 233492 279222 300328 325759 350238 372296 450492 466984 558444 651518 700476 900984 977277 1116888 1303036 1400952 1442647 1954554 2606072 2885294 3909108 4327941 5770588 7818216 8655882 10098529 11541176 17311764 20197058 30295587 34623528 40394116 60591174 80788232 121182348 242364696