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30277312 = 2613151241
BaseRepresentation
bin111001101111…
…1111011000000
32002222020122221
41303133323000
530222333222
63000540424
7515232022
oct163377300
962866587
1030277312
11160aa87a
12a181714
136371290
144042012
1529d10c7
hex1cdfec0

30277312 has 56 divisors (see below), whose sum is σ = 65401952. Its totient is φ = 13824000.

The previous prime is 30277309. The next prime is 30277337. The reversal of 30277312 is 21377203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125512 + ... + 125752.

It is an arithmetic number, because the mean of its divisors is an integer number (1167892).

Almost surely, 230277312 is an apocalyptic number.

30277312 is a gapful number since it is divisible by the number (32) 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 30277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700976).

30277312 is an abundant number, since it is smaller than the sum of its proper divisors (35124640).

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

30277312 is a wasteful number, since it uses less digits than its factorization.

30277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 30277312 is about 5502.4823489040. The cubic root of 30277312 is about 311.6777299144.

It can be divided in two parts, 302 and 77312, that multiplied together give a square (23348224 = 48322).

The spelling of 30277312 in words is "thirty million, two hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 151 208 241 302 416 482 604 832 964 1208 1928 1963 2416 3133 3856 3926 4832 6266 7712 7852 9664 12532 15424 15704 25064 31408 36391 50128 62816 72782 100256 125632 145564 200512 291128 473083 582256 946166 1164512 1892332 2329024 3784664 7569328 15138656 30277312