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2134430320 = 245112311709
BaseRepresentation
bin111111100111000…
…1101001001110000
312111202022021221211
41333032031021300
513332403232240
6551444125504
7103615233631
oct17716151160
95452267854
102134430320
119a5915100
124b6996894
13280284529
1416368d888
15c75b8bea
hex7f38d270

2134430320 has 120 divisors (see below), whose sum is σ = 5479961760. Its totient is φ = 772569600.

The previous prime is 2134430293. The next prime is 2134430377. The reversal of 2134430320 is 230344312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2134430291 and 2134430300.

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 23 ways as a sum of consecutive naturals, for example, 3010126 + ... + 3010834.

It is an arithmetic number, because the mean of its divisors is an integer number (45666348).

Almost surely, 22134430320 is an apocalyptic number.

2134430320 is a gapful number since it is divisible by the number (20) 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 2134430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739980880).

2134430320 is an abundant number, since it is smaller than the sum of its proper divisors (3345531440).

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

2134430320 is a wasteful number, since it uses less digits than its factorization.

2134430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2134430320 is about 46199.8952379765. The cubic root of 2134430320 is about 1287.5397935355.

Adding to 2134430320 its reverse (230344312), we get a palindrome (2364774632).

The spelling of 2134430320 in words is "two billion, one hundred thirty-four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 311 440 484 605 622 709 880 968 1210 1244 1418 1555 1936 2420 2488 2836 3110 3421 3545 4840 4976 5672 6220 6842 7090 7799 9680 11344 12440 13684 14180 15598 17105 24880 27368 28360 31196 34210 37631 38995 54736 56720 62392 68420 75262 77990 85789 124784 136840 150524 155980 171578 188155 220499 273680 301048 311960 343156 376310 428945 440998 602096 623920 686312 752620 857890 881996 1102495 1372624 1505240 1715780 1763992 2204990 2425489 3010480 3431560 3527984 4409980 4850978 6863120 8819960 9701956 12127445 17639920 19403912 24254890 26680379 38807824 48509780 53360758 97019560 106721516 133401895 194039120 213443032 266803790 426886064 533607580 1067215160 2134430320