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1378334272 = 26729277383
BaseRepresentation
bin101001000100111…
…1011011001000000
310120001120122011111
41102021323121000
510310323144042
6344434253104
746104435160
oct12211733100
93501518144
101378334272
11648040a37
12325727194
1318c734113
14d10b25a0
1581015517
hex5227b640

1378334272 has 112 divisors (see below), whose sum is σ = 3253800960. Its totient is φ = 566802432.

The previous prime is 1378334263. The next prime is 1378334291. The reversal of 1378334272 is 2724338731.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3598593 + ... + 3598975.

Almost surely, 21378334272 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 1378334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626900480).

1378334272 is an abundant number, since it is smaller than the sum of its proper divisors (1875466688).

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

1378334272 is a wasteful number, since it uses less digits than its factorization.

1378334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 1378334272 is about 37125.9245272087. The cubic root of 1378334272 is about 1112.8881505832. Note that the first 3 decimals are identical.

The spelling of 1378334272 in words is "one billion, three hundred seventy-eight million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 277 383 406 448 464 554 766 812 928 1108 1532 1624 1856 1939 2216 2681 3064 3248 3878 4432 5362 6128 6496 7756 8033 8864 10724 11107 12256 12992 15512 16066 17728 21448 22214 24512 31024 32132 42896 44428 56231 62048 64264 77749 85792 88856 106091 112462 124096 128528 155498 171584 177712 212182 224924 257056 310996 355424 424364 449848 514112 621992 710848 742637 848728 899696 1243984 1485274 1697456 1799392 2487968 2970548 3076639 3394912 3598784 4975936 5941096 6153278 6789824 11882192 12306556 21536473 23764384 24613112 43072946 47528768 49226224 86145892 98452448 172291784 196904896 344583568 689167136 1378334272