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16312944 = 2431931577
BaseRepresentation
bin111110001110…
…101001110000
31010200210011010
4332032221300
513134003234
61341350520
7255441414
oct76165160
933623133
1016312944
11923217a
125568440
1334c213b
142248d44
1516736e9
hexf8ea70

16312944 has 80 divisors (see below), whose sum is σ = 45870080. Its totient is φ = 4976640.

The previous prime is 16312937. The next prime is 16312949. The reversal of 16312944 is 44921361.

It is a super-2 number, since 2×163129442 = 532224283894272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312949) 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, 27984 + ... + 28560.

It is an arithmetic number, because the mean of its divisors is an integer number (573376).

Almost surely, 216312944 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 16312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22935040).

16312944 is an abundant number, since it is smaller than the sum of its proper divisors (29557136).

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

16312944 is a wasteful number, since it uses less digits than its factorization.

16312944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 16312944 is about 4038.9285707970. The cubic root of 16312944 is about 253.6164670682.

The spelling of 16312944 in words is "sixteen million, three hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 577 589 744 912 1154 1178 1488 1731 1767 2308 2356 3462 3534 4616 4712 6924 7068 9232 9424 10963 13848 14136 17887 21926 27696 28272 32889 35774 43852 53661 65778 71548 87704 107322 131556 143096 175408 214644 263112 286192 339853 429288 526224 679706 858576 1019559 1359412 2039118 2718824 4078236 5437648 8156472 16312944