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30601368 = 2333737547
BaseRepresentation
bin111010010111…
…1000010011000
32010120201012000
41310233002120
530313220433
63011521000
7521051550
oct164570230
963521160
1030601368
1116301296
12a2b9160
136455925
1440c8160
152a47113
hex1d2f098

30601368 has 128 divisors (see below), whose sum is σ = 99955200. Its totient is φ = 8491392.

The previous prime is 30601357. The next prime is 30601369. The reversal of 30601368 is 86310603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30601369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55671 + ... + 56217.

It is an arithmetic number, because the mean of its divisors is an integer number (780900).

Almost surely, 230601368 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 30601368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49977600).

30601368 is an abundant number, since it is smaller than the sum of its proper divisors (69353832).

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

30601368 is a wasteful number, since it uses less digits than its factorization.

30601368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30601368 is about 5531.8503233547. The cubic root of 30601368 is about 312.7857414196.

The spelling of 30601368 in words is "thirty million, six hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 547 666 756 777 888 999 1036 1094 1332 1512 1554 1641 1998 2072 2188 2331 2664 3108 3282 3829 3996 4376 4662 4923 6216 6564 6993 7658 7992 9324 9846 11487 13128 13986 14769 15316 18648 19692 20239 22974 27972 29538 30632 34461 39384 40478 45948 55944 59076 60717 68922 80956 91896 103383 118152 121434 137844 141673 161912 182151 206766 242868 275688 283346 364302 413532 425019 485736 546453 566692 728604 827064 850038 1092906 1133384 1275057 1457208 1700076 2185812 2550114 3400152 3825171 4371624 5100228 7650342 10200456 15300684 30601368