Search a number
-
+
148336384 = 287235961
BaseRepresentation
bin10001101011101…
…10111100000000
3101100010021021011
420311312330000
5300433231014
622415210304
73450560410
oct1065667400
9340107234
10148336384
1176806359
1241816994
1324968911
14159b4640
15d0517c4
hex8d76f00

148336384 has 144 divisors (see below), whose sum is σ = 364976640. Its totient is φ = 58798080.

The previous prime is 148336379. The next prime is 148336387. The reversal of 148336384 is 483633841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148336387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431714 + ... + 2431774.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2148336384 is an apocalyptic number.

148336384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

148336384 is an abundant number, since it is smaller than the sum of its proper divisors (216640256).

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

148336384 is an equidigital number, since it uses as much as digits as its factorization.

148336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 148336384 is about 12179.3425109897. The cubic root of 148336384 is about 529.3576934832.

The spelling of 148336384 in words is "one hundred forty-eight million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 61 64 92 112 118 122 128 161 184 224 236 244 256 322 368 413 427 448 472 488 644 736 826 854 896 944 976 1288 1357 1403 1472 1652 1708 1792 1888 1952 2576 2714 2806 2944 3304 3416 3599 3776 3904 5152 5428 5612 5888 6608 6832 7198 7552 7808 9499 9821 10304 10856 11224 13216 13664 14396 15104 15616 18998 19642 20608 21712 22448 25193 26432 27328 28792 37996 39284 41216 43424 44896 50386 52864 54656 57584 75992 78568 82777 86848 89792 100772 105728 109312 115168 151984 157136 165554 173696 179584 201544 230336 303968 314272 331108 347392 359168 403088 460672 579439 607936 628544 662216 806176 921344 1158878 1215872 1257088 1324432 1612352 2317756 2431744 2514176 2648864 3224704 4635512 5297728 6449408 9271024 10595456 18542048 21190912 37084096 74168192 148336384