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30842448 = 24371323307
BaseRepresentation
bin111010110100…
…1111001010000
32011000221212220
41311221321100
530343424243
63021021040
7523104450
oct165517120
964027786
1030842448
111645642a
12a3b4780
13650b590
14414bd60
152a93783
hex1d69e50

30842448 has 160 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 7755264.

The previous prime is 30842447. The next prime is 30842467. The reversal of 30842448 is 84424803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30842447) by changing a digit.

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, 100311 + ... + 100617.

Almost surely, 230842448 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 30842448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

30842448 is an abundant number, since it is smaller than the sum of its proper divisors (71817648).

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

30842448 is a wasteful number, since it uses less digits than its factorization.

30842448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 30842448 is about 5553.5977528085. The cubic root of 30842448 is about 313.6049774477.

The spelling of 30842448 in words is "thirty million, eight hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 307 312 322 336 364 368 483 546 552 598 614 624 644 728 897 921 966 1092 1104 1196 1228 1288 1456 1794 1842 1932 2093 2149 2184 2392 2456 2576 3588 3684 3864 3991 4186 4298 4368 4784 4912 6279 6447 7061 7176 7368 7728 7982 8372 8596 11973 12558 12894 14122 14352 14736 15964 16744 17192 21183 23946 25116 25788 27937 28244 31928 33488 34384 42366 47892 49427 50232 51576 55874 56488 63856 83811 84732 91793 95784 98854 100464 103152 111748 112976 148281 167622 169464 183586 191568 197708 223496 275379 296562 335244 338928 367172 395416 446992 550758 593124 642551 670488 734344 790832 1101516 1186248 1285102 1340976 1468688 1927653 2203032 2372496 2570204 3855306 4406064 5140408 7710612 10280816 15421224 30842448