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35424011340 = 22335257255253
BaseRepresentation
bin100000111111011011…
…111000010001001100
310101102202112020011000
4200333123320101030
51040022021330330
624135031300300
72362561061664
oct407733702114
9111382466130
1035424011340
1114028a27033
126a4751a690
133457021473
141a009611a4
15dc4dd8560
hex83f6f844c

35424011340 has 96 divisors (see below), whose sum is σ = 110637293760. Its totient is φ = 9409609728.

The previous prime is 35424011323. The next prime is 35424011347. The reversal of 35424011340 is 4311042453.

It is a happy number.

35424011340 is a `hidden beast` number, since 3 + 542 + 4 + 0 + 113 + 4 + 0 = 666.

35424011340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354240113403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35424011347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11154 + ... + 266406.

It is an arithmetic number, because the mean of its divisors is an integer number (1152471810).

Almost surely, 235424011340 is an apocalyptic number.

35424011340 is a gapful number since it is divisible by the number (30) 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 35424011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55318646880).

35424011340 is an abundant number, since it is smaller than the sum of its proper divisors (75213282420).

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

35424011340 is a wasteful number, since it uses less digits than its factorization.

35424011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255528 (or 255520 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35424011340 its reverse (4311042453), we get a palindrome (39735053793).

The spelling of 35424011340 in words is "thirty-five billion, four hundred twenty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 6939 7710 9252 11565 13878 15420 23130 27756 34695 46260 69390 138780 255253 510506 765759 1021012 1276265 1531518 2297277 2552530 3063036 3828795 4594554 5105060 6891831 7657590 9189108 11486385 13783662 15315180 22972770 27567324 34459155 45945540 65600021 68918310 131200042 137836620 196800063 262400084 328000105 393600126 590400189 656000210 787200252 984000315 1180800378 1312000420 1771200567 1968000630 2361600756 2952000945 3542401134 3936001260 5904001890 7084802268 8856002835 11808003780 17712005670 35424011340