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746330816 = 26711269563
BaseRepresentation
bin101100011111000…
…001101011000000
31221000100112102002
4230133001223000
53012030041231
6202020243132
724331464410
oct5437015300
91830315362
10746330816
11353314430
12189b404a8
13bb81168a
1471198640
15457c50cb
hex2c7c1ac0

746330816 has 112 divisors (see below), whose sum is σ = 1856597760. Its totient is φ = 289182720.

The previous prime is 746330803. The next prime is 746330857. The reversal of 746330816 is 618033647.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7463308162 = 1114019373822451712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 746330816.

It is an unprimeable 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, 1325351 + ... + 1325913.

Almost surely, 2746330816 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 746330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928298880).

746330816 is an abundant number, since it is smaller than the sum of its proper divisors (1110266944).

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

746330816 is a wasteful number, since it uses less digits than its factorization.

746330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 746330816 is about 27319.0559134096. The cubic root of 746330816 is about 907.0762403664.

The spelling of 746330816 in words is "seven hundred forty-six million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 269 308 352 448 538 563 616 704 1076 1126 1232 1883 2152 2252 2464 2959 3766 3941 4304 4504 4928 5918 6193 7532 7882 8608 9008 11836 12386 15064 15764 17216 18016 20713 23672 24772 30128 31528 36032 41426 43351 47344 49544 60256 63056 82852 86702 94688 99088 120512 126112 151447 165704 173404 189376 198176 252224 302894 331408 346808 396352 605788 662816 693616 1060129 1211576 1325632 1387232 1665917 2120258 2423152 2774464 3331834 4240516 4846304 6663668 8481032 9692608 11661419 13327336 16962064 23322838 26654672 33924128 46645676 53309344 67848256 93291352 106618688 186582704 373165408 746330816