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1378443312 = 243319295791
BaseRepresentation
bin101001000101001…
…0110000000110000
310120001210011202000
41102022112000300
510310340141222
6344440454000
746105401111
oct12212260060
93501704660
101378443312
11648105954
1232577a300
1318c77193c
14d1100208
15810379ac
hex52296030

1378443312 has 160 divisors (see below), whose sum is σ = 4309248000. Its totient is φ = 420215040.

The previous prime is 1378443301. The next prime is 1378443323. The reversal of 1378443312 is 2133448731.

1378443312 is a `hidden beast` number, since 137 + 84 + 433 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1378443301) and next prime (1378443323).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235137 + ... + 240927.

It is an arithmetic number, because the mean of its divisors is an integer number (26932800).

Almost surely, 21378443312 is an apocalyptic number.

1378443312 is a gapful number since it is divisible by the number (12) 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 1378443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154624000).

1378443312 is an abundant number, since it is smaller than the sum of its proper divisors (2930804688).

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

1378443312 is a wasteful number, since it uses less digits than its factorization.

1378443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5844 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1378443312 is about 37127.3930137843. The cubic root of 1378443312 is about 1112.9174966634.

The spelling of 1378443312 in words is "one billion, three hundred seventy-eight million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 72 76 87 108 114 116 144 152 171 174 216 228 232 261 304 342 348 432 456 464 513 522 551 684 696 783 912 1026 1044 1102 1368 1392 1566 1653 2052 2088 2204 2736 3132 3306 4104 4176 4408 4959 5791 6264 6612 8208 8816 9918 11582 12528 13224 14877 17373 19836 23164 26448 29754 34746 39672 46328 52119 59508 69492 79344 92656 104238 110029 119016 138984 156357 167939 208476 220058 238032 277968 312714 330087 335878 416952 440116 503817 625428 660174 671756 833904 880232 990261 1007634 1250856 1320348 1343512 1511451 1760464 1980522 2015268 2501712 2640696 2687024 2970783 3022902 3190841 3961044 4030536 4534353 5281392 5941566 6045804 6381682 7922088 8061072 9068706 9572523 11883132 12091608 12763364 15844176 18137412 19145046 23766264 24183216 25526728 28717569 36274824 38290092 47532528 51053456 57435138 72549648 76580184 86152707 114870276 153160368 172305414 229740552 344610828 459481104 689221656 1378443312