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30398720 = 2851117127
BaseRepresentation
bin111001111110…
…1100100000000
32010012102012112
41303331210000
530240224340
63003314452
7516246002
oct163754400
963172175
1030398720
1116183010
12a21ba28
1363b4611
144074372
152a07065
hex1cfd900

30398720 has 144 divisors (see below), whose sum is σ = 84768768. Its totient is φ = 10321920.

The previous prime is 30398717. The next prime is 30398723. The reversal of 30398720 is 2789303.

It is an interprime number because it is at equal distance from previous prime (30398717) and next prime (30398723).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (30398723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239297 + ... + 239423.

It is an arithmetic number, because the mean of its divisors is an integer number (588672).

Almost surely, 230398720 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 30398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384384).

30398720 is an abundant number, since it is smaller than the sum of its proper divisors (54370048).

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

30398720 is a wasteful number, since it uses less digits than its factorization.

30398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 30398720 is about 5513.5034234142. The cubic root of 30398720 is about 312.0937697552.

The spelling of 30398720 in words is "thirty million, three hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 127 128 136 160 170 176 187 220 254 256 272 320 340 352 374 440 508 544 635 640 680 704 748 880 935 1016 1088 1270 1280 1360 1397 1408 1496 1760 1870 2032 2159 2176 2540 2720 2794 2816 2992 3520 3740 4064 4318 4352 5080 5440 5588 5984 6985 7040 7480 8128 8636 10160 10795 10880 11176 11968 13970 14080 14960 16256 17272 20320 21590 21760 22352 23749 23936 27940 29920 32512 34544 40640 43180 44704 47498 47872 55880 59840 69088 81280 86360 89408 94996 111760 118745 119680 138176 162560 172720 178816 189992 223520 237490 239360 276352 345440 357632 379984 447040 474980 552704 690880 759968 894080 949960 1381760 1519936 1788160 1899920 2763520 3039872 3799840 6079744 7599680 15199360 30398720