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1074453408 = 253274491187
BaseRepresentation
bin100000000001010…
…1101101110100000
32202212202212222200
41000002231232200
54200030002113
6254341133200
735424463140
oct10002555640
92685685880
101074453408
11501556826
1225b9ba200
131417a7a62
14a29ac920
15644db873
hex400adba0

1074453408 has 144 divisors (see below), whose sum is σ = 3502699200. Its totient is φ = 306044928.

The previous prime is 1074453403. The next prime is 1074453449. The reversal of 1074453408 is 8043544701.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1074453403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904591 + ... + 905777.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 21074453408 is an apocalyptic number.

1074453408 is a gapful number since it is divisible by the number (18) 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 1074453408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751349600).

1074453408 is an abundant number, since it is smaller than the sum of its proper divisors (2428245792).

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

1074453408 is a wasteful number, since it uses less digits than its factorization.

1074453408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1074453408 is about 32778.8561118292. The cubic root of 1074453408 is about 1024.2261565099.

The spelling of 1074453408 in words is "one billion, seventy-four million, four hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 449 504 672 898 1008 1187 1347 1796 2016 2374 2694 3143 3561 3592 4041 4748 5388 6286 7122 7184 8082 8309 9429 9496 10683 10776 12572 14244 14368 16164 16618 18858 18992 21366 21552 24927 25144 28287 28488 32328 33236 37716 37984 42732 43104 49854 50288 56574 56976 64656 66472 74781 75432 85464 99708 100576 113148 113952 129312 132944 149562 150864 170928 199416 226296 265888 299124 301728 341856 398832 452592 532963 598248 797664 905184 1065926 1196496 1598889 2131852 2392992 3197778 3730741 4263704 4796667 6395556 7461482 8527408 9593334 11192223 12791112 14922964 17054816 19186668 22384446 25582224 29845928 33576669 38373336 44768892 51164448 59691856 67153338 76746672 89537784 119383712 134306676 153493344 179075568 268613352 358151136 537226704 1074453408