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235345620 = 2235171791289
BaseRepresentation
bin11100000011100…
…01011011010100
3121101211210111110
432001301123110
5440222024440
635204135020
75555255556
oct1601613324
9541753443
10235345620
11110934714
1266997470
13399b1483
14233834d6
15159dc080
hexe0716d4

235345620 has 96 divisors (see below), whose sum is σ = 702172800. Its totient is φ = 58691584.

The previous prime is 235345619. The next prime is 235345651. The reversal of 235345620 is 26543532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 181936 + ... + 183224.

It is an arithmetic number, because the mean of its divisors is an integer number (7314300).

Almost surely, 2235345620 is an apocalyptic number.

235345620 is a gapful number since it is divisible by the number (20) 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 235345620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351086400).

235345620 is an abundant number, since it is smaller than the sum of its proper divisors (466827180).

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

235345620 is a wasteful number, since it uses less digits than its factorization.

235345620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 235345620 is about 15340.9784564088. The cubic root of 235345620 is about 617.4029591753.

The spelling of 235345620 in words is "two hundred thirty-five million, three hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 895 1020 1074 1289 1790 2148 2578 2685 3043 3580 3867 5156 5370 6086 6445 7734 9129 10740 12172 12890 15215 15468 18258 19335 21913 25780 30430 36516 38670 43826 45645 60860 65739 77340 87652 91290 109565 131478 182580 219130 230731 262956 328695 438260 461462 657390 692193 922924 1153655 1314780 1384386 2307310 2768772 3460965 3922427 4614620 6921930 7844854 11767281 13843860 15689708 19612135 23534562 39224270 47069124 58836405 78448540 117672810 235345620