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319310420 = 2251113971151
BaseRepresentation
bin10011000010000…
…100101001010100
3211020211122112212
4103002010221110
51123220413140
651403532552
710625044112
oct2302045124
9736748485
10319310420
11154273710
128ab2a158
13511cc3a0
143059cab2
151d075765
hex13084a54

319310420 has 96 divisors (see below), whose sum is σ = 796594176. Its totient is φ = 105984000.

The previous prime is 319310401. The next prime is 319310477. The reversal of 319310420 is 24013913.

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, 276845 + ... + 277995.

It is an arithmetic number, because the mean of its divisors is an integer number (8297856).

Almost surely, 2319310420 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 319310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398297088).

319310420 is an abundant number, since it is smaller than the sum of its proper divisors (477283756).

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

319310420 is a wasteful number, since it uses less digits than its factorization.

319310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 319310420 is about 17869.2590780927. The cubic root of 319310420 is about 683.4987064882.

The spelling of 319310420 in words is "three hundred nineteen million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 97 110 130 143 194 220 260 286 388 485 572 715 970 1067 1151 1261 1430 1940 2134 2302 2522 2860 4268 4604 5044 5335 5755 6305 10670 11510 12610 12661 13871 14963 21340 23020 25220 25322 27742 29926 50644 55484 59852 63305 69355 74815 111647 126610 138710 149630 164593 223294 253220 277420 299260 329186 446588 558235 658372 822965 1116470 1228117 1451411 1645930 2232940 2456234 2902822 3291860 4912468 5805644 6140585 7257055 12281170 14514110 15965521 24562340 29028220 31931042 63862084 79827605 159655210 319310420