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30738820 = 2257892467
BaseRepresentation
bin111010101000…
…0100110000100
32010211200201211
41311100212010
530332120240
63014501204
7522163360
oct165204604
963750654
1030738820
1116395592
12a364804
1364a3368
1441222a0
152a72bea
hex1d50984

30738820 has 48 divisors (see below), whose sum is σ = 74632320. Its totient is φ = 10416384.

The previous prime is 30738817. The next prime is 30738857. The reversal of 30738820 is 2883703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227 + ... + 13693.

It is an arithmetic number, because the mean of its divisors is an integer number (1554840).

Almost surely, 230738820 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 30738820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37316160).

30738820 is an abundant number, since it is smaller than the sum of its proper divisors (43893500).

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

30738820 is a wasteful number, since it uses less digits than its factorization.

30738820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 30738820 is about 5544.2600949090. The cubic root of 30738820 is about 313.2533546688.

The spelling of 30738820 in words is "thirty million, seven hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2467 2492 3115 4934 6230 9868 12335 12460 17269 24670 34538 49340 69076 86345 172690 219563 345380 439126 878252 1097815 1536941 2195630 3073882 4391260 6147764 7684705 15369410 30738820