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3538940 = 2251967139
BaseRepresentation
bin1101011111111111111100
320122210111212
431133333330
51401221230
6203503552
742036416
oct15377774
96583455
103538940
111aa7949
121227bb8
1396ba62
146819b6
1549d895
hex35fffc

3538940 has 48 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 1311552.

The previous prime is 3538933. The next prime is 3538949. The reversal of 3538940 is 498353.

It is a junction number, because it is equal to n+sod(n) for n = 3538897 and 3538906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538949) 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, 25391 + ... + 25529.

It is an arithmetic number, because the mean of its divisors is an integer number (166600).

Almost surely, 23538940 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 3538940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

3538940 is an abundant number, since it is smaller than the sum of its proper divisors (4457860).

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

3538940 is a wasteful number, since it uses less digits than its factorization.

3538940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3538940 is about 1881.2070593106. The cubic root of 3538940 is about 152.3904435742.

The spelling of 3538940 in words is "three million, five hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 139 190 268 278 335 380 556 670 695 1273 1340 1390 2546 2641 2780 5092 5282 6365 9313 10564 12730 13205 18626 25460 26410 37252 46565 52820 93130 176947 186260 353894 707788 884735 1769470 3538940