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3029000952 = 2334113722469
BaseRepresentation
bin1011010010001010…
…1110001011111000
321211002121012011110
42310202232023320
522200411012302
61220322000320
7135030040365
oct26442561370
97732535143
103029000952
11131487927a
127064a60a0
133936c9873
1420a3d546c
1512adc1b6c
hexb48ae2f8

3029000952 has 64 divisors (see below), whose sum is σ = 7814167200. Its totient is φ = 977807360.

The previous prime is 3029000951. The next prime is 3029000977. The reversal of 3029000952 is 2590009203.

3029000952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029000951) 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, 123574 + ... + 146042.

Almost surely, 23029000952 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 3029000952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907083600).

3029000952 is an abundant number, since it is smaller than the sum of its proper divisors (4785166248).

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

3029000952 is a wasteful number, since it uses less digits than its factorization.

3029000952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22656 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3029000952 is about 55036.3602720965. The cubic root of 3029000952 is about 1446.8820759416.

The spelling of 3029000952 in words is "three billion, twenty-nine million, nine hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 41 82 123 137 164 246 274 328 411 492 548 822 984 1096 1644 3288 5617 11234 16851 22468 22469 33702 44936 44938 67404 67407 89876 134808 134814 179752 269628 539256 921229 1842458 2763687 3078253 3684916 5527374 6156506 7369832 9234759 11054748 12313012 18469518 22109496 24626024 36939036 73878072 126208373 252416746 378625119 504833492 757250238 1009666984 1514500476 3029000952