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1378921416 = 233314634003
BaseRepresentation
bin101001000110000…
…1010101111001000
310120002200110120120
41102030022233020
510311000441131
6344455023240
746112432025
oct12214125710
93502613516
101378921416
11648402084
1232596ab20
1318c8ab442
14d11c654c
15810ce496
hex5230abc8

1378921416 has 64 divisors (see below), whose sum is σ = 3567083520. Its totient is φ = 443741760.

The previous prime is 1378921399. The next prime is 1378921433. The reversal of 1378921416 is 6141298731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1378921399) and next prime (1378921433).

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, 342471 + ... + 346473.

It is an arithmetic number, because the mean of its divisors is an integer number (55735680).

Almost surely, 21378921416 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 1378921416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783541760).

1378921416 is an abundant number, since it is smaller than the sum of its proper divisors (2188162104).

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

1378921416 is a wasteful number, since it uses less digits than its factorization.

1378921416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4502 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 1378921416 is about 37133.8311516601. The cubic root of 1378921416 is about 1113.0461511624.

The spelling of 1378921416 in words is "one billion, three hundred seventy-eight million, nine hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 463 744 926 1389 1852 2778 3704 4003 5556 8006 11112 12009 14353 16012 24018 28706 32024 43059 48036 57412 86118 96072 114824 124093 172236 248186 344472 372279 496372 744558 992744 1489116 1853389 2978232 3706778 5560167 7413556 11120334 14827112 22240668 44481336 57455059 114910118 172365177 229820236 344730354 459640472 689460708 1378921416