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1344163100 = 225272318849
BaseRepresentation
bin101000000011110…
…0100110100011100
310110200021120010112
41100013210310130
510223101204400
6341214025152
745211124600
oct12007446434
93420246115
101344163100
1162a8216a5
123161a81b8
1318562b6a7
14ca739500
157d015835
hex501e4d1c

1344163100 has 108 divisors (see below), whose sum is σ = 3502900800. Its totient is φ = 445939200.

The previous prime is 1344163099. The next prime is 1344163109. The reversal of 1344163100 is 13614431.

It is a super-2 number, since 2×13441631002 = 3613548878803220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344163109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 147476 + ... + 156324.

Almost surely, 21344163100 is an apocalyptic number.

1344163100 is a gapful number since it is divisible by the number (10) 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 1344163100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751450400).

1344163100 is an abundant number, since it is smaller than the sum of its proper divisors (2158737700).

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

1344163100 is a wasteful number, since it uses less digits than its factorization.

1344163100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1344163100 is about 36662.8299507826. The cubic root of 1344163100 is about 1103.6143096727.

Adding to 1344163100 its reverse (13614431), we get a palindrome (1357777531).

The spelling of 1344163100 in words is "one billion, three hundred forty-four million, one hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 140 155 175 196 217 245 310 350 434 490 620 700 775 868 980 1085 1225 1519 1550 2170 2450 3038 3100 4340 4900 5425 6076 7595 8849 10850 15190 17698 21700 30380 35396 37975 44245 61943 75950 88490 123886 151900 176980 221225 247772 274319 309715 433601 442450 548638 619430 867202 884900 1097276 1238860 1371595 1548575 1734404 1920233 2168005 2743190 3097150 3840466 4336010 5486380 6194300 6857975 7680932 8672020 9601165 10840025 13441631 13715950 19202330 21680050 26883262 27431900 38404660 43360100 48005825 53766524 67208155 96011650 134416310 192023300 268832620 336040775 672081550 1344163100