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30046000 = 245383181
BaseRepresentation
bin111001010011…
…1011100110000
32002112111100211
41302213130300
530142433000
62551553504
7513246445
oct162473460
962474324
1030046000
1115a62006
12a08b894
1362bcbca
143dc19cc
1529877ba
hex1ca7730

30046000 has 80 divisors (see below), whose sum is σ = 73932768. Its totient is φ = 11808000.

The previous prime is 30045941. The next prime is 30046007. The reversal of 30046000 is 64003.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30046007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165910 + ... + 166090.

Almost surely, 230046000 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 30046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36966384).

30046000 is an abundant number, since it is smaller than the sum of its proper divisors (43886768).

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

30046000 is a wasteful number, since it uses less digits than its factorization.

30046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30046000 is about 5481.4231728630. The cubic root of 30046000 is about 310.8819835987.

The spelling of 30046000 in words is "thirty million, forty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 181 200 250 332 362 400 415 500 664 724 830 905 1000 1328 1448 1660 1810 2000 2075 2896 3320 3620 4150 4525 6640 7240 8300 9050 10375 14480 15023 16600 18100 20750 22625 30046 33200 36200 41500 45250 60092 72400 75115 83000 90500 120184 150230 166000 181000 240368 300460 362000 375575 600920 751150 1201840 1502300 1877875 3004600 3755750 6009200 7511500 15023000 30046000