Search a number
-
+
355000140 = 2232511414373
BaseRepresentation
bin10101001010001…
…101111101001100
3220201222212122100
4111022031331030
51211340001030
655120515100
711540310555
oct2512157514
9821885570
10355000140
1117242a950
129aa7ba90
1358717071
143520d32c
1521275360
hex1528df4c

355000140 has 144 divisors (see below), whose sum is σ = 1203654816. Its totient is φ = 83942400.

The previous prime is 355000133. The next prime is 355000141. The reversal of 355000140 is 41000553.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (355000141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78994 + ... + 83366.

It is an arithmetic number, because the mean of its divisors is an integer number (8358714).

Almost surely, 2355000140 is an apocalyptic number.

355000140 is a gapful number since it is divisible by the number (30) 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 355000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601827408).

355000140 is an abundant number, since it is smaller than the sum of its proper divisors (848654676).

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

355000140 is a wasteful number, since it uses less digits than its factorization.

355000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 355000140 is about 18841.4473966307. The cubic root of 355000140 is about 708.0699681881.

Adding to 355000140 its reverse (41000553), we get a palindrome (396000693).

The spelling of 355000140 in words is "three hundred fifty-five million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4373 4510 5412 6765 7380 8118 8746 9020 13119 13530 16236 17492 20295 21865 26238 27060 39357 40590 43730 48103 52476 65595 78714 81180 87460 96206 131190 144309 157428 179293 192412 196785 240515 262380 288618 358586 393570 432927 481030 537879 577236 717172 721545 787140 865854 896465 962060 1075758 1443090 1613637 1731708 1792930 1972223 2151516 2164635 2689395 2886180 3227274 3585860 3944446 4329270 5378790 5916669 6454548 7888892 8068185 8658540 9861115 10757580 11833338 16136370 17750007 19722230 23666676 29583345 32272740 35500014 39444460 59166690 71000028 88750035 118333380 177500070 355000140