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1361378424 = 233719716007
BaseRepresentation
bin101000100100100…
…1111110001111000
310111212200012010010
41101021033301320
510242003102144
6343031021520
745510345210
oct12111176170
93455605103
101361378424
1163950a83a
1231bb0a8a0
13189078483
14ccb3b240
157e7b65b9
hex5124fc78

1361378424 has 128 divisors (see below), whose sum is σ = 4152729600. Its totient is φ = 363242880.

The previous prime is 1361378399. The next prime is 1361378429. The reversal of 1361378424 is 4248731631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361378429) 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, 223629 + ... + 229635.

It is an arithmetic number, because the mean of its divisors is an integer number (32443200).

Almost surely, 21361378424 is an apocalyptic number.

1361378424 is a gapful number since it is divisible by the number (14) 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 1361378424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076364800).

1361378424 is an abundant number, since it is smaller than the sum of its proper divisors (2791351176).

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

1361378424 is a wasteful number, since it uses less digits than its factorization.

1361378424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6109 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1361378424 is about 36896.8619803907. The cubic root of 1361378424 is about 1108.3058385828.

The spelling of 1361378424 in words is "one billion, three hundred sixty-one million, three hundred seventy-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 532 568 798 852 994 1064 1349 1491 1596 1704 1988 2698 2982 3192 3976 4047 5396 5964 6007 8094 9443 10792 11928 12014 16188 18021 18886 24028 28329 32376 36042 37772 42049 48056 56658 72084 75544 84098 113316 114133 126147 144168 168196 226632 228266 252294 336392 342399 426497 456532 504588 684798 798931 852994 913064 1009176 1279491 1369596 1597862 1705988 2396793 2558982 2739192 2985479 3195724 3411976 4793586 5117964 5970958 6391448 8103443 8956437 9587172 10235928 11941916 16206886 17912874 19174344 23883832 24310329 32413772 35825748 48620658 56724101 64827544 71651496 97241316 113448202 170172303 194482632 226896404 340344606 453792808 680689212 1361378424