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1074328656 = 243533471217
BaseRepresentation
bin100000000001000…
…1111010001010000
32202212112112212020
41000002033101100
54200012004111
6254334331440
735423433342
oct10002172120
92685475766
101074328656
11501481025
1225b959b80
1314176303b
14a2979292
15644b4906
hex4008f450

1074328656 has 80 divisors (see below), whose sum is σ = 2838193344. Its totient is φ = 350052352.

The previous prime is 1074328649. The next prime is 1074328721. The reversal of 1074328656 is 6568234701.

It is a super-2 number, since 2×10743286562 = 2308364122205532672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882160 + ... + 883376.

Almost surely, 21074328656 is an apocalyptic number.

1074328656 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 1074328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419096672).

1074328656 is an abundant number, since it is smaller than the sum of its proper divisors (1763864688).

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

1074328656 is a wasteful number, since it uses less digits than its factorization.

1074328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1074328656 is about 32776.9531225829. The cubic root of 1074328656 is about 1024.1865148943.

The spelling of 1074328656 in words is "one billion, seventy-four million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 347 424 636 694 848 1041 1217 1272 1388 2082 2434 2544 2776 3651 4164 4868 5552 7302 8328 9736 14604 16656 18391 19472 29208 36782 55173 58416 64501 73564 110346 129002 147128 193503 220692 258004 294256 387006 422299 441384 516008 774012 844598 882768 1032016 1266897 1548024 1689196 2533794 3096048 3378392 5067588 6756784 10135176 20270352 22381847 44763694 67145541 89527388 134291082 179054776 268582164 358109552 537164328 1074328656