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2970352 = 247112411
BaseRepresentation
bin1011010101001011110000
312120220120001
423111023300
51230022402
6143355344
734150630
oct13251360
95526501
102970352
111749740
12bb2b54
13800008
145746c0
153da187
hex2d52f0

2970352 has 40 divisors (see below), whose sum is σ = 7178112. Its totient is φ = 1156800.

The previous prime is 2970347. The next prime is 2970371. The reversal of 2970352 is 2530792.

2970352 is nontrivially palindromic in base 13.

2970352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2970352.

It is a congruent number.

It is an unprimeable number.

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, 27 + ... + 2437.

22970352 is an apocalyptic number.

2970352 is a gapful number since it is divisible by the number (22) 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 2970352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589056).

2970352 is an abundant number, since it is smaller than the sum of its proper divisors (4207760).

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

2970352 is a wasteful number, since it uses less digits than its factorization.

2970352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2970352 is about 1723.4709164938. The cubic root of 2970352 is about 143.7482742074.

The spelling of 2970352 in words is "two million, nine hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2411 4822 9644 16877 19288 26521 33754 38576 53042 67508 106084 135016 185647 212168 270032 371294 424336 742588 1485176 2970352