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1029433344 = 21131371223
BaseRepresentation
bin111101010110111…
…110100000000000
32122202001122001220
4331112332200000
54102013331334
6250052155040
734340016252
oct7526764000
92582048056
101029433344
114890a7565
12248908a80
13135374274
149aa0dcd2
1560597449
hex3d5be800

1029433344 has 96 divisors (see below), whose sum is σ = 2766778560. Its totient is φ = 340361216.

The previous prime is 1029433303. The next prime is 1029433403. The reversal of 1029433344 is 4433349201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841117 + ... + 842339.

It is an arithmetic number, because the mean of its divisors is an integer number (28820610).

Almost surely, 21029433344 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 1029433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383389280).

1029433344 is an abundant number, since it is smaller than the sum of its proper divisors (1737345216).

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

1029433344 is a wasteful number, since it uses less digits than its factorization.

1029433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 1029433344 is about 32084.7836832353. The cubic root of 1029433344 is about 1009.7164004587.

The spelling of 1029433344 in words is "one billion, twenty-nine million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1223 1536 1644 2048 2192 2446 3072 3288 3669 4384 4892 6144 6576 7338 8768 9784 13152 14676 17536 19568 26304 29352 35072 39136 52608 58704 70144 78272 105216 117408 140288 156544 167551 210432 234816 280576 313088 335102 420864 469632 502653 626176 670204 841728 939264 1005306 1252352 1340408 1878528 2010612 2504704 2680816 3757056 4021224 5361632 7514112 8042448 10723264 16084896 21446528 32169792 42893056 64339584 85786112 128679168 171572224 257358336 343144448 514716672 1029433344