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30377568 = 25313101241
BaseRepresentation
bin111001111100…
…0011001100000
32010011100012010
41303320121200
530234040233
63003032520
7516130224
oct163703140
963140163
1030377568
1116169131
12a20b740
1363a7ac0
14406a784
152a00b63
hex1cf8660

30377568 has 96 divisors (see below), whose sum is σ = 87085152. Its totient is φ = 9216000.

The previous prime is 30377539. The next prime is 30377579. The reversal of 30377568 is 86577303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125928 + ... + 126168.

It is an arithmetic number, because the mean of its divisors is an integer number (907137).

Almost surely, 230377568 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 30377568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43542576).

30377568 is an abundant number, since it is smaller than the sum of its proper divisors (56707584).

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

30377568 is a wasteful number, since it uses less digits than its factorization.

30377568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 30377568 is about 5511.5848900294. The cubic root of 30377568 is about 312.0213660582.

It can be divided in two parts, 303 and 77568, that multiplied together give a square (23503104 = 48482).

The spelling of 30377568 in words is "thirty million, three hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 202 208 241 303 312 404 416 482 606 624 723 808 964 1212 1248 1313 1446 1616 1928 2424 2626 2892 3133 3232 3856 3939 4848 5252 5784 6266 7712 7878 9399 9696 10504 11568 12532 15756 18798 21008 23136 24341 25064 31512 37596 42016 48682 50128 63024 73023 75192 97364 100256 126048 146046 150384 194728 292092 300768 316433 389456 584184 632866 778912 949299 1168368 1265732 1898598 2336736 2531464 3797196 5062928 7594392 10125856 15188784 30377568