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2738064 = 243729281
BaseRepresentation
bin1010011100011110010000
312011002220210
422130132100
51200104224
6134404120
732162460
oct12343620
95132823
102738064
11160016a
12b00640
1374b374
14513ba0
15391429
hex29c790

2738064 has 80 divisors (see below), whose sum is σ = 8392320. Its totient is φ = 752640.

The previous prime is 2738063. The next prime is 2738077. The reversal of 2738064 is 4608372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738063) 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, 9604 + ... + 9884.

It is an arithmetic number, because the mean of its divisors is an integer number (104904).

22738064 is an apocalyptic number.

2738064 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 2738064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196160).

2738064 is an abundant number, since it is smaller than the sum of its proper divisors (5654256).

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

2738064 is a wasteful number, since it uses less digits than its factorization.

2738064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2738064 is about 1654.7096422031. The cubic root of 2738064 is about 139.8989747358.

The spelling of 2738064 in words is "two million, seven hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 281 336 348 406 464 562 609 696 812 843 1124 1218 1392 1624 1686 1967 2248 2436 3248 3372 3934 4496 4872 5901 6744 7868 8149 9744 11802 13488 15736 16298 23604 24447 31472 32596 47208 48894 57043 65192 94416 97788 114086 130384 171129 195576 228172 342258 391152 456344 684516 912688 1369032 2738064