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1074342656 = 28371011123
BaseRepresentation
bin100000000001001…
…0010101100000000
32202212120021001202
41000002102230000
54200012431111
6254334520332
735423522222
oct10002225400
92685507052
101074342656
115014905a2
1225b9660a8
1314176951a
14a2980412
15644b8b3b
hex40092b00

1074342656 has 72 divisors (see below), whose sum is σ = 2226234864. Its totient is φ = 517017600.

The previous prime is 1074342611. The next prime is 1074342667. The reversal of 1074342656 is 6562434701.

It is a happy number.

It is a super-2 number, since 2×10743426562 = 2308424285002268672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 956111 + ... + 957233.

Almost surely, 21074342656 is an apocalyptic number.

1074342656 is a gapful number since it is divisible by the number (16) 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 1074342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113117432).

1074342656 is an abundant number, since it is smaller than the sum of its proper divisors (1151892208).

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

1074342656 is a wasteful number, since it uses less digits than its factorization.

1074342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 1074342656 is about 32777.1666865823. The cubic root of 1074342656 is about 1024.1909637343.

The spelling of 1074342656 in words is "one billion, seventy-four million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 148 202 256 296 404 592 808 1123 1184 1616 2246 2368 3232 3737 4492 4736 6464 7474 8984 9472 12928 14948 17968 25856 29896 35936 41551 59792 71872 83102 113423 119584 143744 166204 226846 239168 287488 332408 453692 478336 664816 907384 956672 1329632 1814768 2659264 3629536 4196651 5318528 7259072 8393302 10637056 14518144 16786604 29036288 33573208 67146416 134292832 268585664 537171328 1074342656