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242736324 = 223193161563
BaseRepresentation
bin11100111011111…
…01110011000100
3121220202021122020
432131331303010
5444120030244
640030403140
76005140035
oct1635756304
9556667566
10242736324
11115022436
12693604b0
133b39b47c
1424348a8c
151649bd19
hexe77dcc4

242736324 has 96 divisors (see below), whose sum is σ = 626626560. Its totient is φ = 72835200.

The previous prime is 242736313. The next prime is 242736331. The reversal of 242736324 is 423637242.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 430867 + ... + 431429.

It is an arithmetic number, because the mean of its divisors is an integer number (6527360).

Almost surely, 2242736324 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 242736324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313313280).

242736324 is an abundant number, since it is smaller than the sum of its proper divisors (383890236).

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

242736324 is a wasteful number, since it uses less digits than its factorization.

242736324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 242736324 is about 15579.9975609754. The cubic root of 242736324 is about 623.7993581583.

The spelling of 242736324 in words is "two hundred forty-two million, seven hundred thirty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 31 38 57 61 62 76 93 114 122 124 183 186 228 244 366 372 563 589 732 1126 1159 1178 1689 1767 1891 2252 2318 2356 3378 3477 3534 3782 4636 5673 6756 6954 7068 7564 10697 11346 13908 17453 21394 22692 32091 34343 34906 35929 42788 52359 64182 68686 69812 71858 103029 104718 107787 128364 137372 143716 206058 209436 215574 331607 412116 431148 652517 663214 994821 1064633 1305034 1326428 1957551 1989642 2129266 2610068 3193899 3915102 3979284 4258532 6387798 7830204 12775596 20228027 40456054 60684081 80912108 121368162 242736324