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368242500 = 22354371327
BaseRepresentation
bin10101111100101…
…110111101000100
3221122220122202010
4111330232331010
51223232230000
6100312414220
712061003203
oct2574567504
9848818663
10368242500
1117995504a
12a33a7370
135b3a2692
1436c9923a
15224ddd50
hex15f2ef44

368242500 has 120 divisors (see below), whose sum is σ = 1103546752. Its totient is φ = 95472000.

The previous prime is 368242499. The next prime is 368242529. The reversal of 368242500 is 5242863.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276837 + ... + 278163.

Almost surely, 2368242500 is an apocalyptic number.

368242500 is a gapful number since it is divisible by the number (30) 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 368242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551773376).

368242500 is an abundant number, since it is smaller than the sum of its proper divisors (735304252).

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

368242500 is a wasteful number, since it uses less digits than its factorization.

368242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 368242500 is about 19189.6456455037. The cubic root of 368242500 is about 716.7669470876.

The spelling of 368242500 in words is "three hundred sixty-eight million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 625 740 750 925 1110 1250 1327 1500 1850 1875 2220 2500 2654 2775 3700 3750 3981 4625 5308 5550 6635 7500 7962 9250 11100 13270 13875 15924 18500 19905 23125 26540 27750 33175 39810 46250 49099 55500 66350 69375 79620 92500 98198 99525 132700 138750 147297 165875 196396 199050 245495 277500 294594 331750 398100 490990 497625 589188 663500 736485 829375 981980 995250 1227475 1472970 1658750 1990500 2454950 2488125 2945940 3317500 3682425 4909900 4976250 6137375 7364850 9952500 12274750 14729700 18412125 24549500 30686875 36824250 61373750 73648500 92060625 122747500 184121250 368242500