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2738424 = 2331367131
BaseRepresentation
bin1010011100100011111000
312011010102010
422130203320
51200112144
6134405520
732163513
oct12344370
95133363
102738424
111600467
12b008a0
1374b590
14513d7a
153915b9
hex29c8f8

2738424 has 64 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 823680.

The previous prime is 2738423. The next prime is 2738453. The reversal of 2738424 is 4248372.

2738424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2738391 and 2738400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738423) by changing a digit.

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, 20839 + ... + 20969.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

22738424 is an apocalyptic number.

2738424 is a gapful number since it is divisible by the number (24) 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 2738424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2738424 is an abundant number, since it is smaller than the sum of its proper divisors (4801416).

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

2738424 is a wasteful number, since it uses less digits than its factorization.

2738424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2738424 is about 1654.8184190418. The cubic root of 2738424 is about 139.9051057617.

The spelling of 2738424 in words is "two million, seven hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 131 134 156 201 262 268 312 393 402 524 536 786 804 871 1048 1572 1608 1703 1742 2613 3144 3406 3484 5109 5226 6812 6968 8777 10218 10452 13624 17554 20436 20904 26331 35108 40872 52662 70216 105324 114101 210648 228202 342303 456404 684606 912808 1369212 2738424