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980316 = 223329313
BaseRepresentation
bin11101111010101011100
31211210202000
43233111130
5222332231
633002300
711222031
oct3572534
91753660
10980316
1160a587
123b3390
1328428c
141b7388
151456e6
hexef55c

980316 has 48 divisors (see below), whose sum is σ = 2637600. Its totient is φ = 314496.

The previous prime is 980299. The next prime is 980321. The reversal of 980316 is 613089.

It is a super-2 number, since 2×9803162 = 1922038919712, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 980316.

It is a congruent number.

It is an unprimeable number.

980316 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 2976 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (54950).

2980316 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 980316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318800).

980316 is an abundant number, since it is smaller than the sum of its proper divisors (1657284).

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

980316 is a wasteful number, since it uses less digits than its factorization.

980316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 980316 is about 990.1090848992. The cubic root of 980316 is about 99.3395138515.

It can be divided in two parts, 980 and 316, that added together give a 4-th power (1296 = 64).

The spelling of 980316 in words is "nine hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 313 348 522 626 783 939 1044 1252 1566 1878 2817 3132 3756 5634 8451 9077 11268 16902 18154 27231 33804 36308 54462 81693 108924 163386 245079 326772 490158 980316