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3343834152 = 2332374632711
BaseRepresentation
bin1100011101001110…
…1101110000101000
322122001000101010100
43013103231300220
523322010143102
61311445545400
7145602056421
oct30723556050
98561011110
103343834152
1114665640aa
12793a15260
134139bc0b9
1423a14a648
15148860a1c
hexc74edc28

3343834152 has 96 divisors (see below), whose sum is σ = 9324506880. Its totient is φ = 1081745280.

The previous prime is 3343834121. The next prime is 3343834163. The reversal of 3343834152 is 2514383433.

3343834152 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-2 number, since 2×33438341522 = 22362453672163118208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232077 + ... + 1234787.

It is an arithmetic number, because the mean of its divisors is an integer number (97130280).

Almost surely, 23343834152 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 3343834152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662253440).

3343834152 is an abundant number, since it is smaller than the sum of its proper divisors (5980672728).

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

3343834152 is a wasteful number, since it uses less digits than its factorization.

3343834152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3216 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3343834152 is about 57825.8951681684. The cubic root of 3343834152 is about 1495.3685518432.

The spelling of 3343834152 in words is "three billion, three hundred forty-three million, eight hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 463 666 888 926 1332 1389 1852 2664 2711 2778 3704 4167 5422 5556 8133 8334 10844 11112 16266 16668 17131 21688 24399 32532 33336 34262 48798 51393 65064 68524 97596 100307 102786 137048 154179 195192 200614 205572 300921 308358 401228 411144 601842 616716 802456 902763 1203684 1233432 1255193 1805526 2407368 2510386 3611052 3765579 5020772 7222104 7531158 10041544 11296737 15062316 22593474 30124632 45186948 46442141 90373896 92884282 139326423 185768564 278652846 371537128 417979269 557305692 835958538 1114611384 1671917076 3343834152