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2134344352 = 25725923071
BaseRepresentation
bin111111100110111…
…1000001010100000
312111202010221000211
41333031320022200
513332343004402
6551442223504
7103614425200
oct17715701240
95452127024
102134344352
119a5866558
124b6954b94
1328025436a
1416366a400
15c759d4d7
hex7f3782a0

2134344352 has 72 divisors (see below), whose sum is σ = 4971093120. Its totient is φ = 899176320.

The previous prime is 2134344341. The next prime is 2134344353. The reversal of 2134344352 is 2534434312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2134344353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80977 + ... + 104047.

It is an arithmetic number, because the mean of its divisors is an integer number (69042960).

Almost surely, 22134344352 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 2134344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485546560).

2134344352 is an abundant number, since it is smaller than the sum of its proper divisors (2836748768).

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

2134344352 is a wasteful number, since it uses less digits than its factorization.

2134344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23154 (or 23139 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 2134344352 is about 46198.9648368878. The cubic root of 2134344352 is about 1287.5225073138.

Adding to 2134344352 its reverse (2534434312), we get a palindrome (4668778664).

The spelling of 2134344352 in words is "two billion, one hundred thirty-four million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1568 1652 1888 2891 3304 5782 6608 11564 13216 23071 23128 46142 46256 92284 92512 161497 184568 322994 369136 645988 738272 1130479 1291976 1361189 2260958 2583952 2722378 4521916 5167904 5444756 9043832 9528323 10889512 18087664 19056646 21779024 36175328 38113292 43558048 66698261 76226584 133396522 152453168 266793044 304906336 533586088 1067172176 2134344352