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30334752 = 2532741367
BaseRepresentation
bin111001110110…
…1111100100000
32010002011110100
41303231330200
530231203002
63002102400
7515561340
oct163557440
963064410
1030334752
1116139a48
12a1aaa00
136391476
144058d20
1529e311c
hex1cedf20

30334752 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 8432640.

The previous prime is 30334747. The next prime is 30334763. The reversal of 30334752 is 25743303.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82473 + ... + 82839.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 230334752 is an apocalyptic number.

30334752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

30334752 is an abundant number, since it is smaller than the sum of its proper divisors (70932960).

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

30334752 is a wasteful number, since it uses less digits than its factorization.

30334752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 30334752 is about 5507.6993381992. The cubic root of 30334752 is about 311.8747031401.

The spelling of 30334752 in words is "thirty million, three hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 367 369 492 504 574 656 672 734 738 861 984 1008 1101 1148 1312 1468 1476 1722 1968 2016 2202 2296 2569 2583 2936 2952 3303 3444 3936 4404 4592 5138 5166 5872 5904 6606 6888 7707 8808 9184 10276 10332 11744 11808 13212 13776 15047 15414 17616 20552 20664 23121 26424 27552 30094 30828 35232 41104 41328 45141 46242 52848 60188 61656 82208 82656 90282 92484 105329 105696 120376 123312 135423 180564 184968 210658 240752 246624 270846 315987 361128 369936 421316 481504 541692 631974 722256 739872 842632 947961 1083384 1263948 1444512 1685264 1895922 2166768 2527896 3370528 3791844 4333536 5055792 7583688 10111584 15167376 30334752