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69330816 = 2736743
BaseRepresentation
bin1000010000111…
…10011110000000
311211110101000000
410020132132000
5120222041231
610514000000
71501205442
oct410363600
9154411000
1069330816
11361542a5
121b276000
1311496069
1492ca492
1561476e6
hex421e780

69330816 has 112 divisors (see below), whose sum is σ = 207363960. Its totient is φ = 23079168.

The previous prime is 69330803. The next prime is 69330823. The reversal of 69330816 is 61803396.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92941 + ... + 93683.

Almost surely, 269330816 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 69330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103681980).

69330816 is an abundant number, since it is smaller than the sum of its proper divisors (138033144).

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

69330816 is an frugal number, since it uses more digits than its factorization.

69330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 69330816 is about 8326.5128355152. The cubic root of 69330816 is about 410.8110378627.

The spelling of 69330816 in words is "sixty-nine million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 743 864 972 1152 1296 1458 1486 1728 1944 2229 2592 2916 2972 3456 3888 4458 5184 5832 5944 6687 7776 8916 10368 11664 11888 13374 15552 17832 20061 23328 23776 26748 31104 35664 40122 46656 47552 53496 60183 71328 80244 93312 95104 106992 120366 142656 160488 180549 213984 240732 285312 320976 361098 427968 481464 541647 641952 722196 855936 962928 1083294 1283904 1444392 1925856 2166588 2567808 2888784 3851712 4333176 5777568 7703424 8666352 11555136 17332704 23110272 34665408 69330816