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1030734672 = 243115336833
BaseRepresentation
bin111101011011111…
…100001101010000
32122211111202011020
4331123330031100
54102332002142
6250140115440
734354046232
oct7533741520
92584452136
101030734672
11489906240
12249235b80
1313570b696
149ac6c252
1560752cec
hex3d6fc350

1030734672 has 80 divisors (see below), whose sum is σ = 2959685568. Its totient is φ = 306442240.

The previous prime is 1030734643. The next prime is 1030734703. The reversal of 1030734672 is 2764370301.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 9568 + ... + 46400.

Almost surely, 21030734672 is an apocalyptic number.

1030734672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030734672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479842784).

1030734672 is an abundant number, since it is smaller than the sum of its proper divisors (1928950896).

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

1030734672 is a wasteful number, since it uses less digits than its factorization.

1030734672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36908 (or 36902 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 1030734672 is about 32105.0567979563. The cubic root of 1030734672 is about 1010.1416891048.

The spelling of 1030734672 in words is "one billion, thirty million, seven hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 27984 36833 73666 110499 147332 220998 294664 405163 441996 589328 810326 883992 1215489 1620652 1767984 1952149 2430978 3241304 3904298 4861956 5856447 6482608 7808596 9723912 11712894 15617192 19447824 21473639 23425788 31234384 42947278 46851576 64420917 85894556 93703152 128841834 171789112 257683668 343578224 515367336 1030734672