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30724480 = 27561787
BaseRepresentation
bin111010100110…
…1000110000000
32010210222001201
41311031012000
530331140410
63014310544
7522103513
oct165150600
963728051
1030724480
1116385836
12a358454
136499987
14411ad7a
152a6d83a
hex1d4d180

30724480 has 64 divisors (see below), whose sum is σ = 74749680. Its totient is φ = 12072960.

The previous prime is 30724433. The next prime is 30724483. The reversal of 30724480 is 8442703.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30724483) 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, 38647 + ... + 39433.

Almost surely, 230724480 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 30724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37374840).

30724480 is an abundant number, since it is smaller than the sum of its proper divisors (44025200).

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

30724480 is an equidigital number, since it uses as much as digits as its factorization.

30724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 30724480 is about 5542.9667146755. The cubic root of 30724480 is about 313.2046350388.

The spelling of 30724480 in words is "thirty million, seven hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 787 976 1220 1574 1952 2440 3148 3904 3935 4880 6296 7808 7870 9760 12592 15740 19520 25184 31480 39040 48007 50368 62960 96014 100736 125920 192028 240035 251840 384056 480070 503680 768112 960140 1536224 1920280 3072448 3840560 6144896 7681120 15362240 30724480