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2034672 = 243192397
BaseRepresentation
bin111110000101111110000
310211101001020
413300233300
51010102142
6111335440
723202663
oct7605760
93741036
102034672
11116a752
12821580
13563163
143ad6da
152a2cec
hex1f0bf0

2034672 has 80 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 608256.

The previous prime is 2034671. The next prime is 2034689. The reversal of 2034672 is 2764302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20928 + ... + 21024.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

22034672 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 2034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2034672 is an abundant number, since it is smaller than the sum of its proper divisors (3798288).

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

2034672 is a wasteful number, since it uses less digits than its factorization.

2034672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2034672 is about 1426.4192931954. The cubic root of 2034672 is about 126.7160041720.

Adding to 2034672 its reverse (2764302), we get a palindrome (4798974).

The spelling of 2034672 in words is "two million, thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 97 114 138 152 184 194 228 276 291 304 368 388 437 456 552 582 776 874 912 1104 1164 1311 1552 1748 1843 2231 2328 2622 3496 3686 4462 4656 5244 5529 6693 6992 7372 8924 10488 11058 13386 14744 17848 20976 22116 26772 29488 35696 42389 44232 53544 84778 88464 107088 127167 169556 254334 339112 508668 678224 1017336 2034672