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2034240 = 263513163
BaseRepresentation
bin111110000101001000000
310211100110020
413300221000
51010043430
6111333440
723201505
oct7605100
93740406
102034240
11116a39a
12821280
13562bc0
143ad4ac
152a2b10
hex1f0a40

2034240 has 112 divisors (see below), whose sum is σ = 6998208. Its totient is φ = 497664.

The previous prime is 2034239. The next prime is 2034257. The reversal of 2034240 is 424302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12399 + ... + 12561.

It is an arithmetic number, because the mean of its divisors is an integer number (62484).

22034240 is an apocalyptic number.

2034240 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 2034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499104).

2034240 is an abundant number, since it is smaller than the sum of its proper divisors (4963968).

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

2034240 is a wasteful number, since it uses less digits than its factorization.

2034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2034240 is about 1426.2678570311. The cubic root of 2034240 is about 126.7070354556.

Adding to 2034240 its reverse (424302), we get a palindrome (2458542).

The spelling of 2034240 in words is "two million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 163 192 195 208 240 260 312 320 326 390 416 480 489 520 624 652 780 815 832 960 978 1040 1248 1304 1560 1630 1956 2080 2119 2445 2496 2608 3120 3260 3912 4160 4238 4890 5216 6240 6357 6520 7824 8476 9780 10432 10595 12480 12714 13040 15648 16952 19560 21190 25428 26080 31296 31785 33904 39120 42380 50856 52160 63570 67808 78240 84760 101712 127140 135616 156480 169520 203424 254280 339040 406848 508560 678080 1017120 2034240