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240448428 = 2232114712919
BaseRepresentation
bin11100101010011…
…11001110101100
3121202110001020100
432111033032230
5443023322203
635505351100
75646530553
oct1625171654
9552401210
10240448428
111137aa510
1268638490
133aa79c9c
1423d10d9a
1516198ea3
hexe54f3ac

240448428 has 72 divisors (see below), whose sum is σ = 677214720. Its totient is φ = 71307360.

The previous prime is 240448409. The next prime is 240448433. The reversal of 240448428 is 824844042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240448392 and 240448401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12153 + ... + 25071.

It is an arithmetic number, because the mean of its divisors is an integer number (9405760).

Almost surely, 2240448428 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 240448428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

240448428 is an abundant number, since it is smaller than the sum of its proper divisors (436766292).

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

240448428 is a wasteful number, since it uses less digits than its factorization.

240448428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 240448428 is about 15506.3995821080. The cubic root of 240448428 is about 621.8333076196.

The spelling of 240448428 in words is "two hundred forty million, four hundred forty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 12919 18612 25838 38757 51676 77514 116271 142109 155028 232542 284218 426327 465084 568436 607193 852654 1214386 1278981 1705308 1821579 2428772 2557962 3643158 5115924 5464737 6679123 7286316 10929474 13358246 20037369 21858948 26716492 40074738 60112107 80149476 120224214 240448428