Search a number
-
+
34164651420 = 2234521089291
BaseRepresentation
bin11111110100010111…
…110011010110011100
310021011222211010010000
4133310113303112130
51024432122321140
623410043014300
72316426513504
oct376427632634
9107158733100
1034164651420
1113542067309
12675580a390
1332b6145493
1419215bca04
15d4e574a30
hex7f45f359c

34164651420 has 60 divisors (see below), whose sum is σ = 107175781944. Its totient is φ = 9110573280.

The previous prime is 34164651403. The next prime is 34164651427. The reversal of 34164651420 is 2415646143.

34164651420 is a `hidden beast` number, since 3 + 4 + 1 + 646 + 5 + 1 + 4 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×341646514203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164651427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10543026 + ... + 10546265.

Almost surely, 234164651420 is an apocalyptic number.

34164651420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34164651420 is an abundant number, since it is smaller than the sum of its proper divisors (73011130524).

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

34164651420 is a wasteful number, since it uses less digits than its factorization.

34164651420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21089312 (or 21089301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 34164 and 651420, that added together give a square (685584 = 8282).

The spelling of 34164651420 in words is "thirty-four billion, one hundred sixty-four million, six hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 21089291 42178582 63267873 84357164 105446455 126535746 189803619 210892910 253071492 316339365 379607238 421785820 569410857 632678730 759214476 949018095 1138821714 1265357460 1708232571 1898036190 2277643428 2847054285 3416465142 3796072380 5694108570 6832930284 8541162855 11388217140 17082325710 34164651420