Search a number
-
+
355111350 = 235211832593
BaseRepresentation
bin10101001010101…
…001000110110110
3220202012112012020
4111022221012312
51211402030400
655123134010
711541253026
oct2512510666
9822175166
10355111350
111724a6460
129ab14306
1358755879
143523ba86
15212982a0
hex152a91b6

355111350 has 96 divisors (see below), whose sum is σ = 972687744. Its totient is φ = 85017600.

The previous prime is 355111343. The next prime is 355111357. The reversal of 355111350 is 53111553.

It is an interprime number because it is at equal distance from previous prime (355111343) and next prime (355111357).

It is a super-2 number, since 2×3551113502 = 252208141797645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355111350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355111357) 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, 135654 + ... + 138246.

It is an arithmetic number, because the mean of its divisors is an integer number (10132164).

Almost surely, 2355111350 is an apocalyptic number.

355111350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355111350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486343872).

355111350 is an abundant number, since it is smaller than the sum of its proper divisors (617576394).

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

355111350 is a wasteful number, since it uses less digits than its factorization.

355111350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 355111350 is about 18844.3983719301. The cubic root of 355111350 is about 708.1438989006.

The spelling of 355111350 in words is "three hundred fifty-five million, one hundred eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 83 110 150 165 166 249 275 330 415 498 550 825 830 913 1245 1650 1826 2075 2490 2593 2739 4150 4565 5186 5478 6225 7779 9130 12450 12965 13695 15558 22825 25930 27390 28523 38895 45650 57046 64825 68475 77790 85569 129650 136950 142615 171138 194475 215219 285230 388950 427845 430438 645657 713075 855690 1076095 1291314 1426150 2139225 2152190 2367409 3228285 4278450 4734818 5380475 6456570 7102227 10760950 11837045 14204454 16141425 23674090 32282850 35511135 59185225 71022270 118370450 177555675 355111350