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35034025440 = 253597752449
BaseRepresentation
bin100000101000001100…
…001100110111100000
310100102120200220001210
4200220030030313200
51033222202303230
624032220430120
72350114205601
oct405014146740
9110376626053
1035034025440
1113948880937
1269589a8340
1333c42a7c8b
1419a4c45da8
15da0a51eb0
hex82830cde0

35034025440 has 96 divisors (see below), whose sum is σ = 111495031200. Its totient is φ = 9246081024.

The previous prime is 35034025427. The next prime is 35034025457. The reversal of 35034025440 is 4452043053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35034025398 and 35034025407.

It is a congruent number.

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, 329665 + ... + 422784.

It is an arithmetic number, because the mean of its divisors is an integer number (1161406575).

Almost surely, 235034025440 is an apocalyptic number.

35034025440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35034025440 is an abundant number, since it is smaller than the sum of its proper divisors (76461005760).

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

35034025440 is a wasteful number, since it uses less digits than its factorization.

35034025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752564 (or 752556 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 35034025440 its reverse (4452043053), we get a palindrome (39486068493).

The spelling of 35034025440 in words is "thirty-five billion, thirty-four million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 7760 9312 11640 15520 23280 46560 752449 1504898 2257347 3009796 3762245 4514694 6019592 7524490 9029388 11286735 12039184 15048980 18058776 22573470 24078368 30097960 36117552 45146940 60195920 72235104 72987553 90293880 120391840 145975106 180587760 218962659 291950212 361175520 364937765 437925318 583900424 729875530 875850636 1094813295 1167800848 1459751060 1751701272 2189626590 2335601696 2919502120 3503402544 4379253180 5839004240 7006805088 8758506360 11678008480 17517012720 35034025440