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2980432 = 247132389
BaseRepresentation
bin1011010111101001010000
312121102101101
423113221100
51230333212
6143514144
734222210
oct13275120
95542341
102980432
111756274
12bb8954
13804790
14578240
153dd157
hex2d7a50

2980432 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1115136.

The previous prime is 2980427. The next prime is 2980441. The reversal of 2980432 is 2340892.

2980432 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 2980432.

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 15 ways as a sum of consecutive naturals, for example, 33444 + ... + 33532.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22980432 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 2980432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2980432 is an abundant number, since it is smaller than the sum of its proper divisors (4519088).

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

2980432 is a wasteful number, since it uses less digits than its factorization.

2980432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2980432 is about 1726.3927710692. The cubic root of 2980432 is about 143.9106956565.

The spelling of 2980432 in words is "two million, nine hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 89 91 92 104 112 161 178 182 184 208 299 322 356 364 368 598 623 644 712 728 1157 1196 1246 1288 1424 1456 2047 2093 2314 2392 2492 2576 4094 4186 4628 4784 4984 8099 8188 8372 9256 9968 14329 16198 16376 16744 18512 26611 28658 32396 32752 33488 53222 57316 64792 106444 114632 129584 186277 212888 229264 372554 425776 745108 1490216 2980432