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30978432 = 273226891
BaseRepresentation
bin111011000101…
…1000110000000
32011021212102100
41312023012000
530412302212
63023550400
7524212062
oct166130600
964255370
1030978432
1116539611
12a45b400
136558444
144185732
152abdbdc
hex1d8b180

30978432 has 48 divisors (see below), whose sum is σ = 89146980. Its totient is φ = 10325760.

The previous prime is 30978427. The next prime is 30978439. The reversal of 30978432 is 23487903.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30978439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12294 + ... + 14597.

Almost surely, 230978432 is an apocalyptic number.

30978432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30978432 is an abundant number, since it is smaller than the sum of its proper divisors (58168548).

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

30978432 is a wasteful number, since it uses less digits than its factorization.

30978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26911 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 30978432 is about 5565.8271622464. The cubic root of 30978432 is about 314.0651953285.

The spelling of 30978432 in words is "thirty million, nine hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26891 53782 80673 107564 161346 215128 242019 322692 430256 484038 645384 860512 968076 1290768 1721024 1936152 2581536 3442048 3872304 5163072 7744608 10326144 15489216 30978432