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204103440 = 24325674231
BaseRepresentation
bin11000010101001…
…01111100010000
3112020001112021200
430022211330100
5404222302230
632130351200
75025564522
oct1412457420
9466045250
10204103440
11a5235a32
125842b500
1333392c88
141d16da12
1512dba160
hexc2a5f10

204103440 has 120 divisors (see below), whose sum is σ = 695842368. Its totient is φ = 53602560.

The previous prime is 204103439. The next prime is 204103451. The reversal of 204103440 is 44301402.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46125 + ... + 50355.

Almost surely, 2204103440 is an apocalyptic number.

204103440 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 204103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347921184).

204103440 is an abundant number, since it is smaller than the sum of its proper divisors (491738928).

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

204103440 is a wasteful number, since it uses less digits than its factorization.

204103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204103440 is about 14286.4775224686. The cubic root of 204103440 is about 588.7760127525.

Adding to 204103440 its reverse (44301402), we get a palindrome (248404842).

The spelling of 204103440 in words is "two hundred four million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4231 4824 5360 6030 8040 8462 9648 12060 12693 16080 16924 21155 24120 25386 33848 38079 42310 48240 50772 63465 67696 76158 84620 101544 126930 152316 169240 190395 203088 253860 283477 304632 338480 380790 507720 566954 609264 761580 850431 1015440 1133908 1417385 1523160 1700862 2267816 2551293 2834770 3046320 3401724 4252155 4535632 5102586 5669540 6803448 8504310 10205172 11339080 12756465 13606896 17008620 20410344 22678160 25512930 34017240 40820688 51025860 68034480 102051720 204103440