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30801984 = 2631371171
BaseRepresentation
bin111010110000…
…0000001000000
32010221220101020
41311200001000
530341130414
63020105440
7522545463
oct165400100
963856336
1030801984
1116428a94
12a395280
1364c6035
14413b2da
152a867a9
hex1d60040

30801984 has 56 divisors (see below), whose sum is σ = 82161888. Its totient is φ = 10183680.

The previous prime is 30801961. The next prime is 30801989. The reversal of 30801984 is 48910803.

It is not an unprimeable number, because it can be changed into a prime (30801989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25719 + ... + 26889.

Almost surely, 230801984 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 30801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41080944).

30801984 is an abundant number, since it is smaller than the sum of its proper divisors (51359904).

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

30801984 is a wasteful number, since it uses less digits than its factorization.

30801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30801984 is about 5549.9535133188. The cubic root of 30801984 is about 313.4677718957.

The spelling of 30801984 in words is "thirty million, eight hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1171 1644 2192 2342 3288 3513 4384 4684 6576 7026 8768 9368 13152 14052 18736 26304 28104 37472 56208 74944 112416 160427 224832 320854 481281 641708 962562 1283416 1925124 2566832 3850248 5133664 7700496 10267328 15400992 30801984