Search a number
-
+
3454668840 = 233574112701
BaseRepresentation
bin1100110111101010…
…0001000000101000
322220202120100201210
43031322201000220
524033343400330
61330445313120
7151416125550
oct31572410050
98822510653
103454668840
111513085917
12804b657a0
1343095735c
1424ab5c160
151534558b0
hexcdea1028

3454668840 has 64 divisors (see below), whose sum is σ = 11844581760. Its totient is φ = 789638400.

The previous prime is 3454668829. The next prime is 3454668907. The reversal of 3454668840 is 488664543.

It is a self number, because there is not a number n which added to its sum of digits gives 3454668840.

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, 2055511 + ... + 2057190.

It is an arithmetic number, because the mean of its divisors is an integer number (185071590).

Almost surely, 23454668840 is an apocalyptic number.

3454668840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454668840 is an abundant number, since it is smaller than the sum of its proper divisors (8389912920).

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

3454668840 is a wasteful number, since it uses less digits than its factorization.

3454668840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112722 (or 4112718 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The square root of 3454668840 is about 58776.4309906616. The cubic root of 3454668840 is about 1511.7111196096.

The spelling of 3454668840 in words is "three billion, four hundred fifty-four million, six hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4112701 8225402 12338103 16450804 20563505 24676206 28788907 32901608 41127010 49352412 57577814 61690515 82254020 86366721 98704824 115155628 123381030 143944535 164508040 172733442 230311256 246762060 287889070 345466884 431833605 493524120 575778140 690933768 863667210 1151556280 1727334420 3454668840