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242371830 = 23537673259
BaseRepresentation
bin11100111001001…
…00110011110110
3121220001202122110
432130210303312
5444021344310
640014511450
76002061261
oct1634446366
9556052573
10242371830
111148a35a8
1269205586
133b2a15ac
1424291cd8
1516428d20
hexe724cf6

242371830 has 64 divisors (see below), whose sum is σ = 606516480. Its totient is φ = 61928064.

The previous prime is 242371813. The next prime is 242371859. The reversal of 242371830 is 38173242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72741 + ... + 75999.

It is an arithmetic number, because the mean of its divisors is an integer number (9476820).

Almost surely, 2242371830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242371830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303258240).

242371830 is an abundant number, since it is smaller than the sum of its proper divisors (364144650).

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

242371830 is a wasteful number, since it uses less digits than its factorization.

242371830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 242371830 is about 15568.2956677987. The cubic root of 242371830 is about 623.4869683990.

The spelling of 242371830 in words is "two hundred forty-two million, three hundred seventy-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 2010 2479 3259 4958 6518 7437 9777 12395 14874 16295 19554 24790 32590 37185 48885 74370 97770 120583 218353 241166 361749 436706 602915 655059 723498 1091765 1205830 1310118 1808745 2183530 3275295 3617490 6550590 8079061 16158122 24237183 40395305 48474366 80790610 121185915 242371830