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34011107440 = 245372310547
BaseRepresentation
bin11111101011001110…
…000101000001110000
310020210021220021100221
4133223032011001300
51024123320414230
623342520022424
72312553433432
oct375316050160
9106707807327
1034011107440
1113473424462
126712301a14
1332903a545b
141909050652
15d40d4527a
hex7eb385070

34011107440 has 60 divisors (see below), whose sum is σ = 81271032696. Its totient is φ = 13236712704.

The previous prime is 34011107437. The next prime is 34011107447. The reversal of 34011107440 is 4470111043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011107447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45754 + ... + 264793.

Almost surely, 234011107440 is an apocalyptic number.

It is an amenable number.

34011107440 is an abundant number, since it is smaller than the sum of its proper divisors (47259925256).

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

34011107440 is a wasteful number, since it uses less digits than its factorization.

34011107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310634 (or 310591 counting only the distinct ones).

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

Adding to 34011107440 its reverse (4470111043), we get a palindrome (38481218483).

The spelling of 34011107440 in words is "thirty-four billion, eleven million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 54760 109520 310547 621094 1242188 1552735 2484376 3105470 4968752 6210940 11490239 12421880 22980478 24843760 45960956 57451195 91921912 114902390 183843824 229804780 425138843 459609560 850277686 919219120 1700555372 2125694215 3401110744 4251388430 6802221488 8502776860 17005553720 34011107440