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1370319444 = 2234131917123
BaseRepresentation
bin101000110101101…
…0110101001010100
310112111111102220000
41101223112221110
510301300210234
6343550411300
745646344264
oct12153265124
93474442800
101370319444
1164356730a
12322b00b30
1318ab89010
14cddc77a4
1580480899
hex51ad6a54

1370319444 has 120 divisors (see below), whose sum is σ = 4061127840. Its totient is φ = 399422016.

The previous prime is 1370319421. The next prime is 1370319449. The reversal of 1370319444 is 4449130731.

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

It is a junction number, because it is equal to n+sod(n) for n = 1370319399 and 1370319408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370319449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71467 + ... + 88589.

It is an arithmetic number, because the mean of its divisors is an integer number (33842732).

Almost surely, 21370319444 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 1370319444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030563920).

1370319444 is an abundant number, since it is smaller than the sum of its proper divisors (2690808396).

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

1370319444 is a wasteful number, since it uses less digits than its factorization.

1370319444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17171 (or 17160 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1370319444 is about 37017.8260301709. The cubic root of 1370319444 is about 1110.7268577505.

The spelling of 1370319444 in words is "one billion, three hundred seventy million, three hundred nineteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 4212 4446 6156 6669 8892 13338 17123 20007 26676 34246 40014 51369 68492 80028 102738 154107 205476 222599 308214 325337 445198 462321 616428 650674 667797 890396 924642 976011 1301348 1335594 1386963 1849284 1952022 2003391 2671188 2773926 2928033 3904044 4006782 4229381 5547852 5856066 6010173 8013564 8458762 8784099 11712132 12020346 12688143 16917524 17568198 18030519 24040692 25376286 26352297 35136396 36061038 38064429 50752572 52704594 72122076 76128858 105409188 114193287 152257716 228386574 342579861 456773148 685159722 1370319444