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1378901744 = 2411192959241
BaseRepresentation
bin101001000110000…
…0101111011110000
310120002122110120222
41102030011323300
510310444323434
6344454352212
746112320463
oct12214057360
93502573528
101378901744
11648399320
1232595b668
1318c8a24bc
14d11bd2da
15810c872e
hex52305ef0

1378901744 has 160 divisors (see below), whose sum is σ = 3240864000. Its totient is φ = 561254400.

The previous prime is 1378901743. The next prime is 1378901749. The reversal of 1378901744 is 4471098731.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1378901695 and 1378901704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378901743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5721464 + ... + 5721704.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 21378901744 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 1378901744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432000).

1378901744 is an abundant number, since it is smaller than the sum of its proper divisors (1861962256).

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

1378901744 is a wasteful number, since it uses less digits than its factorization.

1378901744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 1378901744 is about 37133.5662709630. The cubic root of 1378901744 is about 1113.0408581492.

The spelling of 1378901744 in words is "one billion, three hundred seventy-eight million, nine hundred one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 59 76 88 116 118 152 176 209 232 236 241 304 319 418 464 472 482 551 638 649 836 944 964 1102 1121 1276 1298 1672 1711 1928 2204 2242 2552 2596 2651 3344 3422 3856 4408 4484 4579 5104 5192 5302 6061 6844 6989 8816 8968 9158 10384 10604 12122 12331 13688 13978 14219 17936 18316 18821 21208 24244 24662 27376 27956 28438 32509 36632 37642 42416 48488 49324 50369 55912 56876 65018 73264 75284 76879 96976 98648 100738 111824 113752 130036 132791 150568 153758 156409 197296 201476 227504 260072 265582 270161 301136 307516 312818 357599 402952 412351 520144 531164 540322 615032 625636 715198 805904 824702 1062328 1080644 1230064 1251272 1430396 1460701 1649404 2124656 2161288 2502544 2860792 2921402 2971771 3298808 4322576 4535861 5721584 5842804 5943542 6597616 7834669 9071722 11685608 11887084 15669338 18143444 23371216 23774168 31338676 36286888 47548336 62677352 72573776 86181359 125354704 172362718 344725436 689450872 1378901744