Search a number
-
+
3346342608 = 243719950047
BaseRepresentation
bin1100011101110101…
…0010001011010000
322122012201211002010
43013131102023100
523323130430413
61312015422520
7145632304620
oct30735221320
98565654063
103346342608
111467a17804
12794824a40
13414389aab
1423a600880
15148ba8dc3
hexc77522d0

3346342608 has 80 divisors (see below), whose sum is σ = 9929523200. Its totient is φ = 951274368.

The previous prime is 3346342607. The next prime is 3346342609. The reversal of 3346342608 is 8062436433.

It is an interprime number because it is at equal distance from previous prime (3346342607) and next prime (3346342609).

It is a super-2 number, since 2×33463426082 = 22396017700232483328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346342607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41841 + ... + 91887.

It is an arithmetic number, because the mean of its divisors is an integer number (124119040).

Almost surely, 23346342608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346342608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964761600).

3346342608 is an abundant number, since it is smaller than the sum of its proper divisors (6583180592).

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

3346342608 is a wasteful number, since it uses less digits than its factorization.

3346342608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50264 (or 50258 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 3346342608 is about 57847.5808310080. The cubic root of 3346342608 is about 1495.7423870329.

The spelling of 3346342608 in words is "three billion, three hundred forty-six million, three hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 597 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 8358 9552 11144 16716 22288 33432 50047 66864 100094 150141 200188 300282 350329 400376 600564 700658 800752 1050987 1201128 1401316 2101974 2402256 2802632 4203948 5605264 8407896 9959353 16815792 19918706 29878059 39837412 59756118 69715471 79674824 119512236 139430942 159349648 209146413 239024472 278861884 418292826 478048944 557723768 836585652 1115447536 1673171304 3346342608