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242211384 = 2334373783
BaseRepresentation
bin11100110111111…
…01101000111000
3121212202121120000
432123331220320
5444001231014
640011233000
76000522432
oct1633755070
9555677500
10242211384
111147a3aa8
1269148760
133b24655c
142424d652
15163e6509
hexe6fda38

242211384 has 40 divisors (see below), whose sum is σ = 678417960. Its totient is φ = 80736912.

The previous prime is 242211383. The next prime is 242211391. The reversal of 242211384 is 483112242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242211383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 186244 + ... + 187539.

It is an arithmetic number, because the mean of its divisors is an integer number (16960449).

Almost surely, 2242211384 is an apocalyptic number.

242211384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242211384 is an abundant number, since it is smaller than the sum of its proper divisors (436206576).

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

242211384 is a wasteful number, since it uses less digits than its factorization.

242211384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373801 (or 373788 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 242211384 is about 15563.1418421860. The cubic root of 242211384 is about 623.3493587982.

The spelling of 242211384 in words is "two hundred forty-two million, two hundred eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 373783 747566 1121349 1495132 2242698 2990264 3364047 4485396 6728094 8970792 10092141 13456188 20184282 26912376 30276423 40368564 60552846 80737128 121105692 242211384