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30743928 = 2333317449
BaseRepresentation
bin111010101000…
…1110101111000
32010211221202000
41311101311320
530332301203
63014541000
7522214305
oct165216570
963757660
1030743928
1116399406
12a367760
1364a5797
1441240ac
152a744a3
hex1d51d78

30743928 has 64 divisors (see below), whose sum is σ = 85860000. Its totient is φ = 10192896.

The previous prime is 30743927. The next prime is 30743941. The reversal of 30743928 is 82934703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30743892 and 30743901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30743927) 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, 68248 + ... + 68696.

Almost surely, 230743928 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 30743928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42930000).

30743928 is an abundant number, since it is smaller than the sum of its proper divisors (55116072).

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

30743928 is a wasteful number, since it uses less digits than its factorization.

30743928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 30743928 is about 5544.7207323724. The cubic root of 30743928 is about 313.2707052537.

The spelling of 30743928 in words is "thirty million, seven hundred forty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 317 449 634 898 951 1268 1347 1796 1902 2536 2694 2853 3592 3804 4041 5388 5706 7608 8082 8559 10776 11412 12123 16164 17118 22824 24246 32328 34236 48492 68472 96984 142333 284666 426999 569332 853998 1138664 1280997 1707996 2561994 3415992 3842991 5123988 7685982 10247976 15371964 30743928