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1134413430 = 2351973137199
BaseRepresentation
bin100001110011101…
…1100011001110110
32221001121011200020
41003213130121312
54310402212210
6304322230010
740053232533
oct10347343166
92831534606
101134413430
1153238a667
12277ab5306
1315103c767
14aa939d8a
15698d2770
hex439dc676

1134413430 has 128 divisors (see below), whose sum is σ = 2941056000. Its totient is φ = 279189504.

The previous prime is 1134413407. The next prime is 1134413453. The reversal of 1134413430 is 343144311.

It is an interprime number because it is at equal distance from previous prime (1134413407) and next prime (1134413453).

It is a self number, because there is not a number n which added to its sum of digits gives 1134413430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5700471 + ... + 5700669.

It is an arithmetic number, because the mean of its divisors is an integer number (22977000).

Almost surely, 21134413430 is an apocalyptic number.

1134413430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470528000).

1134413430 is an abundant number, since it is smaller than the sum of its proper divisors (1806642570).

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

1134413430 is a wasteful number, since it uses less digits than its factorization.

1134413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1134413430 is about 33681.0544668661. The cubic root of 1134413430 is about 1042.9347059075.

Adding to 1134413430 its reverse (343144311), we get a palindrome (1477557741).

The spelling of 1134413430 in words is "one billion, one hundred thirty-four million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 137 146 190 199 219 274 285 365 398 411 438 570 597 685 730 822 995 1095 1194 1370 1387 1990 2055 2190 2603 2774 2985 3781 4110 4161 5206 5970 6935 7562 7809 8322 10001 11343 13015 13870 14527 15618 18905 20002 20805 22686 26030 27263 29054 30003 37810 39045 41610 43581 50005 54526 56715 60006 72635 78090 81789 87162 100010 113430 136315 145270 150015 163578 190019 217905 272630 276013 300030 380038 408945 435810 517997 552026 570057 817890 828039 950095 1035994 1140114 1380065 1553991 1656078 1900190 1990199 2589985 2760130 2850285 3107982 3980398 4140195 5179970 5700570 5970597 7769955 8280390 9950995 11941194 15539910 19901990 29852985 37813781 59705970 75627562 113441343 189068905 226882686 378137810 567206715 1134413430