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30863430 = 235513977
BaseRepresentation
bin111010110111…
…1000001000110
32011002000200000
41311233001012
530400112210
63021302130
7523222563
oct165570106
964060600
1030863430
1116470174
12a404946
136517cb0
14415586a
152a99ac0
hex1d6f046

30863430 has 96 divisors (see below), whose sum is σ = 89709984. Its totient is φ = 7589376.

The previous prime is 30863419. The next prime is 30863501. The reversal of 30863430 is 3436803.

It is a super-2 number, since 2×308634302 = 1905102622729800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30863394 and 30863403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31102 + ... + 32078.

It is an arithmetic number, because the mean of its divisors is an integer number (934479).

Almost surely, 230863430 is an apocalyptic number.

30863430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30863430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854992).

30863430 is an abundant number, since it is smaller than the sum of its proper divisors (58846554).

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

30863430 is a wasteful number, since it uses less digits than its factorization.

30863430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30863430 is about 5555.4864773483. The cubic root of 30863430 is about 313.6760760850.

The spelling of 30863430 in words is "thirty million, eight hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 977 1053 1170 1215 1755 1954 2106 2430 2931 3159 3510 4885 5265 5862 6318 8793 9770 10530 12701 14655 15795 17586 25402 26379 29310 31590 38103 43965 52758 63505 76206 79137 87930 114309 127010 131895 158274 190515 228618 237411 263790 342927 381030 395685 474822 571545 685854 791370 1028781 1143090 1187055 1714635 2057562 2374110 3086343 3429270 5143905 6172686 10287810 15431715 30863430