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30874480 = 2457134241
BaseRepresentation
bin111010111000…
…1101101110000
32011002120211021
41311301231300
530400440410
63021425224
7523300030
oct165615560
964076737
1030874480
11164784aa
12a40b214
136520030
1441598c0
152a9ceda
hex1d71b70

30874480 has 80 divisors (see below), whose sum is σ = 88369344. Its totient is φ = 9768960.

The previous prime is 30874469. The next prime is 30874483. The reversal of 30874480 is 8447803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30874483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 9400.

Almost surely, 230874480 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 30874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44184672).

30874480 is an abundant number, since it is smaller than the sum of its proper divisors (57494864).

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

30874480 is a wasteful number, since it uses less digits than its factorization.

30874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 30874480 is about 5556.4809007140. The cubic root of 30874480 is about 313.7135066521.

The spelling of 30874480 in words is "thirty million, eight hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 4241 7280 8482 16964 21205 29687 33928 42410 55133 59374 67856 84820 110266 118748 148435 169640 220532 237496 275665 296870 339280 385931 441064 474992 551330 593740 771862 882128 1102660 1187480 1543724 1929655 2205320 2374960 3087448 3859310 4410640 6174896 7718620 15437240 30874480