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241378488 = 233313671283
BaseRepresentation
bin11100110001100…
…10010010111000
3121211012022001000
432120302102320
5443243102423
635541325000
75660453241
oct1630622270
9554168030
10241378488
1111428525a
1268a06760
133b014410
14240b3cc8
15162ce843
hexe6324b8

241378488 has 128 divisors (see below), whose sum is σ = 733420800. Its totient is φ = 73104768.

The previous prime is 241378471. The next prime is 241378547. The reversal of 241378488 is 884873142.

It is a super-2 number, since 2×2413784882 = 116527148938332288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187495 + ... + 188777.

It is an arithmetic number, because the mean of its divisors is an integer number (5729850).

Almost surely, 2241378488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241378488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366710400).

241378488 is an abundant number, since it is smaller than the sum of its proper divisors (492042312).

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

241378488 is a wasteful number, since it uses less digits than its factorization.

241378488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 241378488 is about 15536.3601914992. The cubic root of 241378488 is about 622.6340312353.

The spelling of 241378488 in words is "two hundred forty-one million, three hundred seventy-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 108 117 134 156 201 216 234 268 312 351 402 468 536 603 702 804 871 936 1206 1283 1404 1608 1742 1809 2412 2566 2613 2808 3484 3618 3849 4824 5132 5226 6968 7236 7698 7839 10264 10452 11547 14472 15396 15678 16679 20904 23094 23517 30792 31356 33358 34641 46188 47034 50037 62712 66716 69282 85961 92376 94068 100074 133432 138564 150111 171922 188136 200148 257883 277128 300222 343844 400296 450333 515766 600444 687688 773649 900666 1031532 1117493 1200888 1547298 1801332 2063064 2234986 2320947 3094596 3352479 3602664 4469972 4641894 6189192 6704958 8939944 9283788 10057437 13409916 18567576 20114874 26819832 30172311 40229748 60344622 80459496 120689244 241378488