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242931381 = 37113743661
BaseRepresentation
bin11100111101011…
…01011010110101
3121221010012012120
432132231122311
5444142301011
640034510153
76006611520
oct1636553265
9557105176
10242931381
11115145a40
1269435359
133b4391a4
1424399bb7
15164d9a06
hexe7ad6b5

242931381 has 64 divisors (see below), whose sum is σ = 425035776. Its totient is φ = 119750400.

The previous prime is 242931373. The next prime is 242931389. The reversal of 242931381 is 183139242.

It is an interprime number because it is at equal distance from previous prime (242931373) and next prime (242931389).

It is not a de Polignac number, because 242931381 - 23 = 242931373 is a prime.

It is a super-2 number, since 2×2429313812 = 118031311749134322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242931389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367191 + ... + 367851.

It is an arithmetic number, because the mean of its divisors is an integer number (6641184).

Almost surely, 2242931381 is an apocalyptic number.

242931381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242931381 is a deficient number, since it is larger than the sum of its proper divisors (182104395).

242931381 is a wasteful number, since it uses less digits than its factorization.

242931381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762.

The product of its digits is 10368, while the sum is 33.

The square root of 242931381 is about 15586.2561572688. The cubic root of 242931381 is about 623.9664034139.

The spelling of 242931381 in words is "two hundred forty-two million, nine hundred thirty-one thousand, three hundred eighty-one".

Divisors: 1 3 7 11 21 33 37 43 77 111 129 231 259 301 407 473 661 777 903 1221 1419 1591 1983 2849 3311 4627 4773 7271 8547 9933 11137 13881 17501 21813 24457 28423 33411 50897 52503 73371 85269 122507 152691 171199 198961 269027 312653 367521 513597 596883 807081 937959 1051651 1883189 2188571 3154953 5649567 6565713 7361557 11568161 22084671 34704483 80977127 242931381