Search a number
-
+
30678648 = 233711131277
BaseRepresentation
bin111010100000…
…1111001111000
32010201122012020
41311001321320
530323204043
63013314440
7521523060
oct165017170
963648166
1030678648
1116354360
12a335a20
136481b60
1441083a0
152a5ee83
hex1d41e78

30678648 has 128 divisors (see below), whose sum is σ = 103057920. Its totient is φ = 7349760.

The previous prime is 30678629. The next prime is 30678667. The reversal of 30678648 is 84687603.

It is an interprime number because it is at equal distance from previous prime (30678629) and next prime (30678667).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 23386 + ... + 24662.

It is an arithmetic number, because the mean of its divisors is an integer number (805140).

Almost surely, 230678648 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 30678648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528960).

30678648 is an abundant number, since it is smaller than the sum of its proper divisors (72379272).

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

30678648 is a wasteful number, since it uses less digits than its factorization.

30678648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 30678648 is about 5538.8309235795. The cubic root of 30678648 is about 313.0488207556.

The spelling of 30678648 in words is "thirty million, six hundred seventy-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1277 1716 1848 2002 2184 2554 3003 3432 3831 4004 5108 6006 7662 8008 8939 10216 12012 14047 15324 16601 17878 24024 26817 28094 30648 33202 35756 42141 49803 53634 56188 66404 71512 84282 98329 99606 107268 112376 116207 132808 168564 182611 196658 199212 214536 232414 294987 337128 348621 365222 393316 398424 464828 547833 589974 697242 730444 786632 929656 1095666 1179948 1278277 1394484 1460888 2191332 2359896 2556554 2788968 3834831 4382664 5113108 7669662 10226216 15339324 30678648