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201332340 = 2232511234421
BaseRepresentation
bin11000000000000…
…01011001110100
3112000211202001100
430000001121310
5403020113330
631551130100
74663203516
oct1400013164
9460752040
10201332340
11a3712a70
1257513930
1332932881
141ca4bbb6
1512a1e060
hexc001674

201332340 has 144 divisors (see below), whose sum is σ = 695350656. Its totient is φ = 46675200.

The previous prime is 201332293. The next prime is 201332347. The reversal of 201332340 is 43233102.

It is a super-2 number, since 2×2013323402 = 81069422259751200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332347) 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, 43330 + ... + 47750.

It is an arithmetic number, because the mean of its divisors is an integer number (4828824).

Almost surely, 2201332340 is an apocalyptic number.

201332340 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 201332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347675328).

201332340 is an abundant number, since it is smaller than the sum of its proper divisors (494018316).

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

201332340 is a wasteful number, since it uses less digits than its factorization.

201332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 201332340 is about 14189.1627659986. The cubic root of 201332340 is about 586.0992699146.

Adding to 201332340 its reverse (43233102), we get a palindrome (244565442).

The spelling of 201332340 in words is "two hundred one million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4421 4554 5060 7590 8842 9108 11385 13263 15180 17684 22105 22770 26526 39789 44210 45540 48631 53052 66315 79578 88420 97262 101683 132630 145893 159156 194524 198945 203366 243155 265260 291786 305049 397890 406732 437679 486310 508415 583572 610098 729465 795780 875358 915147 972620 1016830 1118513 1220196 1458930 1525245 1750716 1830294 2033660 2188395 2237026 2917860 3050490 3355539 3660588 4376790 4474052 4575735 5592565 6100980 6711078 8753580 9151470 10066617 11185130 13422156 16777695 18302940 20133234 22370260 33555390 40266468 50333085 67110780 100666170 201332340