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30449232 = 24321147409
BaseRepresentation
bin111010000100…
…1111001010000
32010021222111100
41310021321100
530243333412
63004344400
7516546162
oct164117120
963258440
1030449232
1116207a60
12a245100
1364015c8
144088932
152a16edc
hex1d09e50

30449232 has 120 divisors (see below), whose sum is σ = 95172480. Its totient is φ = 9008640.

The previous prime is 30449231. The next prime is 30449233. The reversal of 30449232 is 23294403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30449231) and next prime (30449233).

It is a junction number, because it is equal to n+sod(n) for n = 30449196 and 30449205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30449231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74244 + ... + 74652.

It is an arithmetic number, because the mean of its divisors is an integer number (793104).

Almost surely, 230449232 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 30449232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586240).

30449232 is an abundant number, since it is smaller than the sum of its proper divisors (64723248).

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

30449232 is a wasteful number, since it uses less digits than its factorization.

30449232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30449232 is about 5518.0822755736. The cubic root of 30449232 is about 312.2665375216.

The spelling of 30449232 in words is "thirty million, four hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 409 423 517 528 564 752 792 818 846 1034 1128 1227 1551 1584 1636 1692 2068 2256 2454 3102 3272 3384 3681 4136 4499 4653 4908 6204 6544 6768 7362 8272 8998 9306 9816 12408 13497 14724 17996 18612 19223 19632 24816 26994 29448 35992 37224 38446 40491 53988 57669 58896 71984 74448 76892 80982 107976 115338 153784 161964 173007 211453 215952 230676 307568 323928 346014 422906 461352 634359 647856 692028 845812 922704 1268718 1384056 1691624 1903077 2537436 2768112 3383248 3806154 5074872 7612308 10149744 15224616 30449232