Search a number
-
+
1240124304 = 243235979241
BaseRepresentation
bin100100111101010…
…1100101110010000
310012102111211201210
41021322230232100
510014432434204
6323020100120
742505611516
oct11172545620
93172454653
101240124304
11587021821
122a7394640
13169c02783
14ba9b64b6
1573d14389
hex49eacb90

1240124304 has 160 divisors (see below), whose sum is σ = 3456921600. Its totient is φ = 382187520.

The previous prime is 1240124287. The next prime is 1240124311. The reversal of 1240124304 is 4034210421.

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, 5145624 + ... + 5145864.

It is an arithmetic number, because the mean of its divisors is an integer number (21605760).

Almost surely, 21240124304 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 1240124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728460800).

1240124304 is an abundant number, since it is smaller than the sum of its proper divisors (2216797296).

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

1240124304 is a wasteful number, since it uses less digits than its factorization.

1240124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1240124304 is about 35215.3986772832. The cubic root of 1240124304 is about 1074.3729688205.

Adding to 1240124304 its reverse (4034210421), we get a palindrome (5274334725).

The spelling of 1240124304 in words is "one billion, two hundred forty million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 79 92 118 138 158 177 184 236 237 241 276 316 354 368 472 474 482 552 632 708 723 944 948 964 1104 1264 1357 1416 1446 1817 1896 1928 2714 2832 2892 3634 3792 3856 4071 4661 5428 5451 5543 5784 7268 8142 9322 10856 10902 11086 11568 13983 14219 14536 16284 16629 18644 19039 21712 21804 22172 27966 28438 29072 32568 33258 37288 38078 42657 43608 44344 55932 56876 57117 65136 66516 74576 76156 85314 87216 88688 107203 111864 113752 114234 133032 152312 170628 214406 223728 227504 228468 266064 304624 321609 327037 341256 428812 437897 456936 643218 654074 682512 857624 875794 913872 981111 1123301 1286436 1308148 1313691 1715248 1751588 1962222 2246602 2572872 2616296 2627382 3369903 3503176 3924444 4493204 5145744 5232592 5254764 6739806 7006352 7848888 8986408 10509528 13479612 15697776 17972816 21019056 25835923 26959224 51671846 53918448 77507769 103343692 155015538 206687384 310031076 413374768 620062152 1240124304