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30398784 = 2631319641
BaseRepresentation
bin111001111110…
…1100101000000
32010012102021220
41303331211000
530240230114
63003315040
7516246123
oct163754500
963172256
1030398784
1116183069
12a21ba80
1363b4660
1440743ba
152a070a9
hex1cfd940

30398784 has 112 divisors (see below), whose sum is σ = 91318080. Its totient is φ = 8847360.

The previous prime is 30398783. The next prime is 30398813. The reversal of 30398784 is 48789303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30398783) 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 15 ways as a sum of consecutive naturals, for example, 47104 + ... + 47744.

It is an arithmetic number, because the mean of its divisors is an integer number (815340).

Almost surely, 230398784 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 30398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45659040).

30398784 is an abundant number, since it is smaller than the sum of its proper divisors (60919296).

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

30398784 is a wasteful number, since it uses less digits than its factorization.

30398784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 30398784 is about 5513.5092273433. The cubic root of 30398784 is about 312.0939887774.

The spelling of 30398784 in words is "thirty million, three hundred ninety-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 641 741 832 912 988 1216 1248 1282 1482 1824 1923 1976 2496 2564 2964 3648 3846 3952 5128 5928 7692 7904 8333 10256 11856 12179 15384 15808 16666 20512 23712 24358 24999 30768 33332 36537 41024 47424 48716 49998 61536 66664 73074 97432 99996 123072 133328 146148 158327 194864 199992 266656 292296 316654 389728 399984 474981 533312 584592 633308 779456 799968 949962 1169184 1266616 1599936 1899924 2338368 2533232 3799848 5066464 7599696 10132928 15199392 30398784