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2034808272 = 2432719710247
BaseRepresentation
bin111100101001000…
…1011010111010000
312020210211222012100
41321102023113100
513131402331042
6533525000400
7101265404430
oct17122132720
95223758170
102034808272
11954661632
12489553100
13265743a83
1415435a2c0
15bd98b24c
hex7948b5d0

2034808272 has 120 divisors (see below), whose sum is σ = 6541831296. Its totient is φ = 578366208.

The previous prime is 2034808261. The next prime is 2034808273. The reversal of 2034808272 is 2728084302.

It is a super-3 number, since 3×20348082723 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034808273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193453 + ... + 203699.

Almost surely, 22034808272 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 2034808272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270915648).

2034808272 is an abundant number, since it is smaller than the sum of its proper divisors (4507023024).

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

2034808272 is a wasteful number, since it uses less digits than its factorization.

2034808272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2034808272 is about 45108.8491540185. The cubic root of 2034808272 is about 1267.1883304041.

The spelling of 2034808272 in words is "two billion, thirty-four million, eight hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 197 252 336 394 504 591 788 1008 1182 1379 1576 1773 2364 2758 3152 3546 4137 4728 5516 7092 8274 9456 10247 11032 12411 14184 16548 20494 22064 24822 28368 30741 33096 40988 49644 61482 66192 71729 81976 92223 99288 122964 143458 163952 184446 198576 215187 245928 286916 368892 430374 491856 573832 645561 737784 860748 1147664 1291122 1475568 1721496 2018659 2582244 3442992 4037318 5164488 6055977 8074636 10328976 12111954 14130613 16149272 18167931 24223908 28261226 32298544 36335862 42391839 48447816 56522452 72671724 84783678 96895632 113044904 127175517 145343448 169567356 226089808 254351034 290686896 339134712 508702068 678269424 1017404136 2034808272