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1066435344 = 2432131929983
BaseRepresentation
bin111111100100001…
…000001100010000
32202022200112021100
4333210020030100
54141001412334
6253453224400
735266356642
oct7744101420
92668615240
101066435344
114a7a7a727
12259192100
1313cc2b340
14a18c2892
1563955c99
hex3f908310

1066435344 has 120 divisors (see below), whose sum is σ = 3383394560. Its totient is φ = 310853376.

The previous prime is 1066435327. The next prime is 1066435361. The reversal of 1066435344 is 4435346601.

1066435344 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 5 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1066435327) and next prime (1066435361).

It is a super-2 number, since 2×10664353442 = 2274568685864796672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066435299 and 1066435308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20577 + ... + 50559.

Almost surely, 21066435344 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 1066435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691697280).

1066435344 is an abundant number, since it is smaller than the sum of its proper divisors (2316959216).

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

1066435344 is a wasteful number, since it uses less digits than its factorization.

1066435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30029 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1066435344 is about 32656.3216544668. The cubic root of 1066435344 is about 1021.6720442093.

The spelling of 1066435344 in words is "one billion, sixty-six million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 17784 29983 35568 59966 89949 119932 179898 239864 269847 359796 389779 479728 539694 569677 719592 779558 1079388 1139354 1169337 1439184 1559116 1709031 2158776 2278708 2338674 3118232 3418062 3508011 4317552 4557416 4677348 5127093 6236464 6836124 7016022 7405801 9114832 9354696 10254186 13672248 14032044 14811602 18709392 20508372 22217403 27344496 28064088 29623204 41016744 44434806 56128176 59246408 66652209 82033488 88869612 118492816 133304418 177739224 266608836 355478448 533217672 1066435344