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202100340 = 2235132191049
BaseRepresentation
bin11000000101111…
…00111001110100
3112002021202112210
430002330321310
5403214202330
632015413420
75002552551
oct1402747164
9462252483
10202100340
11a4097a82
1257824270
1332b41300
141cbaba28
1512b218b0
hexc0bce74

202100340 has 144 divisors (see below), whose sum is σ = 645624000. Its totient is φ = 47084544.

The previous prime is 202100323. The next prime is 202100351. The reversal of 202100340 is 43001202.

202100340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192136 + ... + 193184.

It is an arithmetic number, because the mean of its divisors is an integer number (4483500).

Almost surely, 2202100340 is an apocalyptic number.

202100340 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 202100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322812000).

202100340 is an abundant number, since it is smaller than the sum of its proper divisors (443523660).

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

202100340 is a wasteful number, since it uses less digits than its factorization.

202100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202100340 is about 14216.1999141824. The cubic root of 202100340 is about 586.8435668035.

Adding to 202100340 its reverse (43001202), we get a palindrome (245101542).

The spelling of 202100340 in words is "two hundred two million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 228 247 260 285 338 380 390 494 507 570 676 741 780 845 988 1014 1049 1140 1235 1482 1690 2028 2098 2470 2535 2964 3147 3211 3380 3705 4196 4940 5070 5245 6294 6422 7410 9633 10140 10490 12588 12844 13637 14820 15735 16055 19266 19931 20980 27274 31470 32110 38532 39862 40911 48165 54548 59793 62940 64220 68185 79724 81822 96330 99655 119586 136370 163644 177281 192660 199310 204555 239172 259103 272740 298965 354562 398620 409110 518206 531843 597930 709124 777309 818220 886405 1036412 1063686 1195860 1295515 1554618 1772810 2127372 2591030 2659215 3109236 3368339 3545620 3886545 5182060 5318430 6736678 7773090 10105017 10636860 13473356 15546180 16841695 20210034 33683390 40420068 50525085 67366780 101050170 202100340