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3029952 = 26343367
BaseRepresentation
bin1011100011101111000000
312200221022110
423203233000
51233424302
6144535320
734516452
oct13435700
95627273
103029952
11178a4a2
121021540
13821193
1458c2d2
153ecb6c
hex2e3bc0

3029952 has 56 divisors (see below), whose sum is σ = 8225536. Its totient is φ = 983808.

The previous prime is 3029947. The next prime is 3029953. The reversal of 3029952 is 2599203.

3029952 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 (3029953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8073 + ... + 8439.

Almost surely, 23029952 is an apocalyptic number.

3029952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112768).

3029952 is an abundant number, since it is smaller than the sum of its proper divisors (5195584).

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

3029952 is a wasteful number, since it uses less digits than its factorization.

3029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

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

The square root of 3029952 is about 1740.6757308586. The cubic root of 3029952 is about 144.7033491137.

The spelling of 3029952 in words is "three million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 367 516 688 734 1032 1101 1376 1468 2064 2202 2752 2936 4128 4404 5872 8256 8808 11744 15781 17616 23488 31562 35232 47343 63124 70464 94686 126248 189372 252496 378744 504992 757488 1009984 1514976 3029952