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1378464 = 25383173
BaseRepresentation
bin101010000100010100000
32121000220020
411100202200
5323102324
645313440
714500563
oct5204240
92530806
101378464
1186172a
12565880
13393579
1427c4da
151c3679
hex1508a0

1378464 has 48 divisors (see below), whose sum is σ = 3683232. Its totient is φ = 451328.

The previous prime is 1378441. The next prime is 1378499. The reversal of 1378464 is 4648731.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7882 + ... + 8054.

It is an arithmetic number, because the mean of its divisors is an integer number (76734).

21378464 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 1378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841616).

1378464 is an abundant number, since it is smaller than the sum of its proper divisors (2304768).

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

1378464 is a wasteful number, since it uses less digits than its factorization.

1378464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 1378464 is about 1174.0800654129. The cubic root of 1378464 is about 111.2923064278.

The spelling of 1378464 in words is "one million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 173 249 332 346 498 519 664 692 996 1038 1328 1384 1992 2076 2656 2768 3984 4152 5536 7968 8304 14359 16608 28718 43077 57436 86154 114872 172308 229744 344616 459488 689232 1378464