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2034480 = 243572173
BaseRepresentation
bin111110000101100110000
310211100210010
413300230300
51010100410
6111334520
723202300
oct7605460
93740703
102034480
11116a598
12821440
13563046
143ad600
152a2c20
hex1f0b30

2034480 has 120 divisors (see below), whose sum is σ = 7378992. Its totient is φ = 462336.

The previous prime is 2034457. The next prime is 2034481. The reversal of 2034480 is 844302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2034481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11674 + ... + 11846.

22034480 is an apocalyptic number.

2034480 is a gapful number since it is divisible by the number (20) 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 2034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689496).

2034480 is an abundant number, since it is smaller than the sum of its proper divisors (5344512).

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

2034480 is a wasteful number, since it uses less digits than its factorization.

2034480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2034480 is about 1426.3519902184. The cubic root of 2034480 is about 126.7120182326.

Adding to 2034480 its reverse (844302), we get a palindrome (2878782).

The spelling of 2034480 in words is "two million, thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 173 196 210 240 245 280 294 336 346 392 420 490 519 560 588 692 735 784 840 865 980 1038 1176 1211 1384 1470 1680 1730 1960 2076 2352 2422 2595 2768 2940 3460 3633 3920 4152 4844 5190 5880 6055 6920 7266 8304 8477 9688 10380 11760 12110 13840 14532 16954 18165 19376 20760 24220 25431 29064 33908 36330 41520 42385 48440 50862 58128 67816 72660 84770 96880 101724 127155 135632 145320 169540 203448 254310 290640 339080 406896 508620 678160 1017240 2034480