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30083800 = 2352349431
BaseRepresentation
bin111001011000…
…0101011011000
32002121102012211
41302300223120
530200140200
62552444504
7513464605
oct162605330
962542184
1030083800
1115a8844a
12a0a9734
136304186
143dd16ac
152993aba
hex1cb0ad8

30083800 has 48 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 11971200.

The previous prime is 30083777. The next prime is 30083813. The reversal of 30083800 is 838003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69585 + ... + 70015.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 230083800 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 30083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

30083800 is an abundant number, since it is smaller than the sum of its proper divisors (40224200).

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

30083800 is a wasteful number, since it uses less digits than its factorization.

30083800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30083800 is about 5484.8700987352. The cubic root of 30083800 is about 311.0122994967.

It can be divided in two parts, 300 and 83800, that added together give a square (84100 = 2902).

The spelling of 30083800 in words is "thirty million, eighty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 431 698 862 1396 1724 1745 2155 2792 3448 3490 4310 6980 8620 8725 10775 13960 17240 17450 21550 34900 43100 69800 86200 150419 300838 601676 752095 1203352 1504190 3008380 3760475 6016760 7520950 15041900 30083800