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BaseRepresentation
bin101001000101001…
…0010111000100000
310120001202112011100
41102022102320200
510310334233441
6344440314400
746105315542
oct12212227040
93501675140
101378430496
116480a7263
12325772a00
1318c768b61
14d10d9692
1581033cb6
hex52292e20

1378430496 has 144 divisors (see below), whose sum is σ = 4056762528. Its totient is φ = 443673600.

The previous prime is 1378430479. The next prime is 1378430561. The reversal of 1378430496 is 6940348731.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1262911 + ... + 1264001.

It is an arithmetic number, because the mean of its divisors is an integer number (28171962).

Almost surely, 21378430496 is an apocalyptic number.

1378430496 is a gapful number since it is divisible by the number (16) 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 1378430496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028381264).

1378430496 is an abundant number, since it is smaller than the sum of its proper divisors (2678332032).

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

1378430496 is a wasteful number, since it uses less digits than its factorization.

1378430496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1378430496 is about 37127.2204184477. The cubic root of 1378430496 is about 1112.9140475565.

The spelling of 1378430496 in words is "one billion, three hundred seventy-eight million, four hundred thirty thousand, four hundred ninety-six".