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242434603400 = 235211532079199
BaseRepresentation
bin1110000111001000111…
…0100111100110001000
3212011202200110220000012
43201302032213212020
512433001224302100
6303212314531052
723341520061623
oct3416216474610
9764680426005
10242434603400
11938a8016870
123ab9aa36a88
1319b278b4762
14ba3bb58dba
15648da6a135
hex38723a7988

242434603400 has 96 divisors (see below), whose sum is σ = 626504544000. Its totient is φ = 86494636800.

The previous prime is 242434603381. The next prime is 242434603403. The reversal of 242434603400 is 4306434242.

It is not an unprimeable number, because it can be changed into a prime (242434603403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923000 + ... + 1156199.

It is an arithmetic number, because the mean of its divisors is an integer number (6526089000).

Almost surely, 2242434603400 is an apocalyptic number.

242434603400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242434603400 is an abundant number, since it is smaller than the sum of its proper divisors (384069940600).

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

242434603400 is a wasteful number, since it uses less digits than its factorization.

242434603400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079279 (or 2079270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The spelling of 242434603400 in words is "two hundred forty-two billion, four hundred thirty-four million, six hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2915 4664 5300 5830 10600 11660 14575 23320 29150 58300 116600 2079199 4158398 8316796 10395995 16633592 20791990 22871189 41583980 45742378 51979975 83167960 91484756 103959950 110197547 114355945 182969512 207919900 220395094 228711890 415839800 440790188 457423780 550987735 571779725 881580376 914847560 1101975470 1143559450 1212173017 2203950940 2287118900 2424346034 2754938675 4407901880 4574237800 4848692068 5509877350 6060865085 9697384136 11019754700 12121730170 22039509400 24243460340 30304325425 48486920680 60608650850 121217301700 242434603400