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1074322896 = 24373793881
BaseRepresentation
bin100000000001000…
…1101110111010000
32202212112020221220
41000002031313100
54200011313041
6254334245040
735423410503
oct10002156720
92685466856
101074322896
11501477769
1225b956780
1314176052a
14a297713a
15644b2d66
hex4008ddd0

1074322896 has 80 divisors (see below), whose sum is σ = 2849698560. Its totient is φ = 348641280.

The previous prime is 1074322859. The next prime is 1074322913. The reversal of 1074322896 is 6982234701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274876 + ... + 278756.

It is an arithmetic number, because the mean of its divisors is an integer number (35621232).

Almost surely, 21074322896 is an apocalyptic number.

1074322896 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 1074322896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424849280).

1074322896 is an abundant number, since it is smaller than the sum of its proper divisors (1775375664).

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

1074322896 is a wasteful number, since it uses less digits than its factorization.

1074322896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1074322896 is about 32776.8652558478. The cubic root of 1074322896 is about 1024.1846845032.

The spelling of 1074322896 in words is "one billion, seventy-four million, three hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 79 146 158 219 237 292 316 438 474 584 632 876 948 1168 1264 1752 1896 3504 3792 3881 5767 7762 11534 11643 15524 17301 23068 23286 31048 34602 46136 46572 62096 69204 92272 93144 138408 186288 276816 283313 306599 566626 613198 849939 919797 1133252 1226396 1699878 1839594 2266504 2452792 3399756 3679188 4533008 4905584 6799512 7358376 13599024 14716752 22381727 44763454 67145181 89526908 134290362 179053816 268580724 358107632 537161448 1074322896