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1061161344 = 2733417489
BaseRepresentation
bin111111010000000…
…000100110000000
32201221202120201000
4333100000212000
54133124130334
6253144212000
735203502565
oct7720004600
92657676630
101061161344
114a4aa8251
1225746a000
1313bb02929
14a0d0c86c
1563263299
hex3f400980

1061161344 has 128 divisors (see below), whose sum is σ = 3208716000. Its totient is φ = 345047040.

The previous prime is 1061161337. The next prime is 1061161349. The reversal of 1061161344 is 4431611601.

1061161344 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 613 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10611613442 = 2252126795999772672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061161349) 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, 137952 + ... + 145440.

Almost surely, 21061161344 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 1061161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604358000).

1061161344 is an abundant number, since it is smaller than the sum of its proper divisors (2147554656).

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

1061161344 is an equidigital number, since it uses as much as digits as its factorization.

1061161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1061161344 is about 32575.4715084832. The cubic root of 1061161344 is about 1019.9850516840.

Adding to 1061161344 its reverse (4431611601), we get a palindrome (5492772945).

The spelling of 1061161344 in words is "one billion, sixty-one million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7489 7872 8856 11808 14978 15744 17712 22467 23616 29956 35424 44934 47232 59912 67401 70848 89868 119824 134802 141696 179736 202203 239648 269604 307049 359472 404406 479296 539208 614098 718944 808812 921147 958592 1078416 1228196 1437888 1617624 1842294 2156832 2456392 2763441 2875776 3235248 3684588 4313664 4912784 5526882 6470496 7369176 8290323 8627328 9825568 11053764 12940992 14738352 16580646 19651136 22107528 25881984 29476704 33161292 39302272 44215056 58953408 66322584 88430112 117906816 132645168 176860224 265290336 353720448 530580672 1061161344