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30885840 = 2433579181
BaseRepresentation
bin111010111010…
…0011111010000
32011010011102000
41311310133100
530401321330
63021554000
7523345116
oct165643720
964104360
1030885840
1116485a97
12a415900
13652525b
14415dab6
152aa1560
hex1d747d0

30885840 has 160 divisors (see below), whose sum is σ = 108326400. Its totient is φ = 8087040.

The previous prime is 30885817. The next prime is 30885853. The reversal of 30885840 is 4858803.

It is a super-2 number, since 2×308858402 = 1907870225011200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 30885795 and 30885804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170550 + ... + 170730.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 230885840 is an apocalyptic number.

30885840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

30885840 is an abundant number, since it is smaller than the sum of its proper divisors (77440560).

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

30885840 is a wasteful number, since it uses less digits than its factorization.

30885840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 30885840 is about 5557.5030364364. The cubic root of 30885840 is about 313.7519779985.

The spelling of 30885840 in words is "thirty million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 181 216 237 240 270 316 360 362 395 432 474 540 543 632 711 720 724 790 905 948 1080 1086 1185 1264 1422 1448 1580 1629 1810 1896 2133 2160 2172 2370 2715 2844 2896 3160 3258 3555 3620 3792 4266 4344 4740 4887 5430 5688 6320 6516 7110 7240 8145 8532 8688 9480 9774 10665 10860 11376 13032 14220 14299 14480 16290 17064 18960 19548 21330 21720 24435 26064 28440 28598 32580 34128 39096 42660 42897 43440 48870 56880 57196 65160 71495 78192 85320 85794 97740 114392 128691 130320 142990 170640 171588 195480 214485 228784 257382 285980 343176 386073 390960 428970 514764 571960 643455 686352 772146 857940 1029528 1143920 1286910 1544292 1715880 1930365 2059056 2573820 3088584 3431760 3860730 5147640 6177168 7721460 10295280 15442920 30885840