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2034345276 = 22321914919961
BaseRepresentation
bin111100101000001…
…1010010100111100
312020202222110002100
41321100122110330
513131243022101
6533511025100
7101261435535
oct17120322474
95222873070
102034345276
11954375797
1248936b190
13265611102
1415427968c
15bd8e8e86
hex7941a53c

2034345276 has 72 divisors (see below), whose sum is σ = 5449626000. Its totient is φ = 638081280.

The previous prime is 2034345263. The next prime is 2034345277. The reversal of 2034345276 is 6725434302.

2034345276 is a `hidden beast` number, since 2 + 0 + 343 + 45 + 276 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034345276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034345277) 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, 91936 + ... + 111896.

It is an arithmetic number, because the mean of its divisors is an integer number (75689250).

Almost surely, 22034345276 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 2034345276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724813000).

2034345276 is an abundant number, since it is smaller than the sum of its proper divisors (3415280724).

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

2034345276 is a wasteful number, since it uses less digits than its factorization.

2034345276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2034345276 is about 45103.7168756634. The cubic root of 2034345276 is about 1267.0922119899.

Adding to 2034345276 its reverse (6725434302), we get a palindrome (8759779578).

The spelling of 2034345276 in words is "two billion, thirty-four million, three hundred forty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 149 171 228 298 342 447 596 684 894 1341 1788 2682 2831 5364 5662 8493 11324 16986 19961 25479 33972 39922 50958 59883 79844 101916 119766 179649 239532 359298 379259 718596 758518 1137777 1517036 2275554 2974189 3413331 4551108 5948378 6826662 8922567 11896756 13653324 17845134 26767701 35690268 53535402 56509591 107070804 113019182 169528773 226038364 339057546 508586319 678115092 1017172638 2034345276