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30944352 = 2531767283
BaseRepresentation
bin111011000001…
…0110001100000
32011020010200010
41312002301200
530410204402
63023124520
7524010525
oct166026140
964203603
1030944352
1116515a4a
12a443740
136545a8a
14417714c
152ab3a6c
hex1d82c60

30944352 has 96 divisors (see below), whose sum is σ = 87599232. Its totient is φ = 9529344.

The previous prime is 30944297. The next prime is 30944359. The reversal of 30944352 is 25344903.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30944359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109203 + ... + 109485.

It is an arithmetic number, because the mean of its divisors is an integer number (912492).

Almost surely, 230944352 is an apocalyptic number.

30944352 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 30944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43799616).

30944352 is an abundant number, since it is smaller than the sum of its proper divisors (56654880).

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

30944352 is a wasteful number, since it uses less digits than its factorization.

30944352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 30944352 is about 5562.7647802150. The cubic root of 30944352 is about 313.9499832432.

The spelling of 30944352 in words is "thirty million, nine hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 283 402 408 536 544 566 804 816 849 1072 1132 1139 1608 1632 1698 2144 2264 2278 3216 3396 3417 4528 4556 4811 6432 6792 6834 9056 9112 9622 13584 13668 14433 18224 18961 19244 27168 27336 28866 36448 37922 38488 54672 56883 57732 75844 76976 109344 113766 115464 151688 153952 227532 230928 303376 322337 455064 461856 606752 644674 910128 967011 1289348 1820256 1934022 2578696 3868044 5157392 7736088 10314784 15472176 30944352