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1110734440 = 2351710971489
BaseRepresentation
bin100001000110100…
…0111011001101000
32212102001011012121
41002031013121220
54233322000230
6302114521024
736345041554
oct10215073150
92772034177
101110734440
1151aa87252
1226bb96174
1314916b91a
14a7734864
15677a677a
hex42347668

1110734440 has 64 divisors (see below), whose sum is σ = 2650352400. Its totient is φ = 417497088.

The previous prime is 1110734411. The next prime is 1110734453. The reversal of 1110734440 is 444370111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 352613284 + 758121156 = 18778^2 + 27534^2 .

It is a super-2 number, since 2×11107344402 = 2467461992404227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745216 + ... + 746704.

Almost surely, 21110734440 is an apocalyptic number.

1110734440 is a gapful number since it is divisible by the number (10) 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 1110734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325176200).

1110734440 is an abundant number, since it is smaller than the sum of its proper divisors (1539617960).

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

1110734440 is a wasteful number, since it uses less digits than its factorization.

1110734440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1110734440 is about 33327.6827877367. The cubic root of 1110734440 is about 1035.6271149510.

The spelling of 1110734440 in words is "one billion, one hundred ten million, seven hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1097 1489 2194 2978 4388 5485 5956 7445 8776 10970 11912 14890 18649 21940 25313 29780 37298 43880 50626 59560 74596 93245 101252 126565 149192 186490 202504 253130 372980 506260 745960 1012520 1633433 3266866 6533732 8167165 13067464 16334330 27768361 32668660 55536722 65337320 111073444 138841805 222146888 277683610 555367220 1110734440