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30429344 = 2511137631
BaseRepresentation
bin111010000010…
…1000010100000
32010020222012202
41310011002200
530242214334
63004112332
7516434201
oct164050240
963228182
1030429344
11161a4020
12a2356a8
1363c553a
1440815a8
152a1117e
hex1d050a0

30429344 has 48 divisors (see below), whose sum is σ = 65935296. Its totient is φ = 13708800.

The previous prime is 30429341. The next prime is 30429349. The reversal of 30429344 is 44392403.

It is not an unprimeable number, because it can be changed into a prime (30429341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47909 + ... + 48539.

It is an arithmetic number, because the mean of its divisors is an integer number (1373652).

Almost surely, 230429344 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 30429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967648).

30429344 is an abundant number, since it is smaller than the sum of its proper divisors (35505952).

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

30429344 is a wasteful number, since it uses less digits than its factorization.

30429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 30429344 is about 5516.2799058786. The cubic root of 30429344 is about 312.1985367973.

The spelling of 30429344 in words is "thirty million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 631 1096 1262 1507 2192 2524 3014 4384 5048 6028 6941 10096 12056 13882 20192 24112 27764 48224 55528 86447 111056 172894 222112 345788 691576 950917 1383152 1901834 2766304 3803668 7607336 15214672 30429344