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1031434608 = 243171971937
BaseRepresentation
bin111101011110100…
…111000101110000
32122212211022021210
4331132213011300
54103021401413
6250203120120
734363022661
oct7536470560
92585738253
101031434608
1148a2440a6
12249513040
131358c5149
149adb1368
15608403c3
hex3d7a7170

1031434608 has 160 divisors (see below), whose sum is σ = 3014807040. Its totient is φ = 301916160.

The previous prime is 1031434577. The next prime is 1031434633. The reversal of 1031434608 is 8064341301.

It is a super-2 number, since 2×10314346082 = 2127714701160227328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100316 + ... + 1101252.

It is an arithmetic number, because the mean of its divisors is an integer number (18842544).

Almost surely, 21031434608 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 1031434608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507403520).

1031434608 is an abundant number, since it is smaller than the sum of its proper divisors (1983372432).

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

1031434608 is a wasteful number, since it uses less digits than its factorization.

1031434608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1031434608 is about 32115.9556606992. The cubic root of 1031434608 is about 1010.3702880424.

Adding to 1031434608 its reverse (8064341301), we get a palindrome (9095775909).

The spelling of 1031434608 in words is "one billion, thirty-one million, four hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 71 76 102 114 136 142 152 204 213 228 272 284 304 323 408 426 456 568 646 816 852 912 937 969 1136 1207 1292 1349 1704 1874 1938 2414 2584 2698 2811 3408 3621 3748 3876 4047 4828 5168 5396 5622 7242 7496 7752 8094 9656 10792 11244 14484 14992 15504 15929 16188 17803 19312 21584 22488 22933 28968 31858 32376 35606 44976 45866 47787 53409 57936 63716 64752 66527 68799 71212 91732 95574 106818 127432 133054 137598 142424 183464 191148 199581 213636 254864 266108 275196 284848 302651 366928 382296 399162 427272 532216 550392 605302 764592 798324 854544 907953 1064432 1100784 1130959 1210604 1264013 1596648 1815906 2261918 2421208 2528026 3193296 3392877 3631812 3792039 4523836 4842416 5056052 6785754 7263624 7584078 9047672 10112104 13571508 14527248 15168156 18095344 20224208 21488221 27143016 30336312 42976442 54286032 60672624 64464663 85952884 128929326 171905768 257858652 343811536 515717304 1031434608