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310053044 = 227371072797
BaseRepresentation
bin10010011110110…
…000100010110100
3210121102022211002
4102132300202310
51113333144134
650433302432
710453256510
oct2236604264
9717368732
10310053044
1114a020494
1287a04a18
134c30a852
142d26d140
151c34787e
hex127b08b4

310053044 has 48 divisors (see below), whose sum is σ = 643047552. Its totient is φ = 128034432.

The previous prime is 310053011. The next prime is 310053049. The reversal of 310053044 is 440350013.

It is a super-2 number, since 2×3100530442 = 192265780187331872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310053049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109454 + ... + 112250.

It is an arithmetic number, because the mean of its divisors is an integer number (13396824).

Almost surely, 2310053044 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 310053044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321523776).

310053044 is an abundant number, since it is smaller than the sum of its proper divisors (332994508).

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

310053044 is a wasteful number, since it uses less digits than its factorization.

310053044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 310053044 is about 17608.3231456036. The cubic root of 310053044 is about 676.8285447789.

The spelling of 310053044 in words is "three hundred ten million, fifty-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 37 74 107 148 214 259 428 518 749 1036 1498 2797 2996 3959 5594 7918 11188 15836 19579 27713 39158 55426 78316 103489 110852 206978 299279 413956 598558 724423 1197116 1448846 2094953 2897692 4189906 8379812 11073323 22146646 44293292 77513261 155026522 310053044