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30643860 = 223513172311
BaseRepresentation
bin111010011100…
…1011010010100
32010122212110210
41310321122110
530321100420
63012445420
7521316462
oct164713224
963585423
1030643860
1116330205
12a319870
13646c080
1440d9832
152a549e0
hex1d39694

30643860 has 96 divisors (see below), whose sum is σ = 97880832. Its totient is φ = 7096320.

The previous prime is 30643831. The next prime is 30643871. The reversal of 30643860 is 6834603.

It is a super-3 number, since 3×306438603 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 12105 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (1019592).

Almost surely, 230643860 is an apocalyptic number.

30643860 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 30643860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48940416).

30643860 is an abundant number, since it is smaller than the sum of its proper divisors (67236972).

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

30643860 is a wasteful number, since it uses less digits than its factorization.

30643860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 30643860 is about 5535.6896589314. The cubic root of 30643860 is about 312.9304489450.

The spelling of 30643860 in words is "thirty million, six hundred forty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2311 2652 3315 4420 4622 6630 6933 9244 11555 13260 13866 23110 27732 30043 34665 39287 46220 60086 69330 78574 90129 117861 120172 138660 150215 157148 180258 196435 235722 300430 360516 392870 450645 471444 510731 589305 600860 785740 901290 1021462 1178610 1532193 1802580 2042924 2357220 2553655 3064386 5107310 6128772 7660965 10214620 15321930 30643860