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1029488304 = 243139111811
BaseRepresentation
bin111101010111001…
…011111010110000
32122202011102110110
4331113023322300
54102022111204
6250053301320
734340335425
oct7527137260
92582142413
101029488304
11489134889
12248934840
131353932a0
149aa25d4c
15605a8889
hex3d5cbeb0

1029488304 has 80 divisors (see below), whose sum is σ = 2868816384. Its totient is φ = 316243200.

The previous prime is 1029488279. The next prime is 1029488309. The reversal of 1029488304 is 4038849201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1029488309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567559 + ... + 569369.

Almost surely, 21029488304 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 1029488304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434408192).

1029488304 is an abundant number, since it is smaller than the sum of its proper divisors (1839328080).

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

1029488304 is a wasteful number, since it uses less digits than its factorization.

1029488304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1029488304 is about 32085.6401525667. The cubic root of 1029488304 is about 1009.7343692523.

The spelling of 1029488304 in words is "one billion, twenty-nine million, four hundred eighty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 911 1811 1822 2733 3622 3644 5433 5466 7244 7288 10866 10932 11843 14488 14576 21732 21864 23543 23686 28976 35529 43464 43728 47086 47372 70629 71058 86928 94172 94744 141258 142116 188344 189488 282516 284232 376688 565032 568464 1130064 1649821 3299642 4949463 6599284 9898926 13198568 19797852 21447673 26397136 39595704 42895346 64343019 79191408 85790692 128686038 171581384 257372076 343162768 514744152 1029488304