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2034541432 = 2371121915803
BaseRepresentation
bin111100101000100…
…1010001101111000
312020210100102011101
41321101022031320
513131320311212
6533515141144
7101263213450
oct17121121570
95223312141
102034541432
1195449a100
124894447b4
1326567c491
141542cad60
15bd937157
hex7944a378

2034541432 has 96 divisors (see below), whose sum is σ = 5044636800. Its totient is φ = 750911040.

The previous prime is 2034541409. The next prime is 2034541433. The reversal of 2034541432 is 2341454302.

It is a happy number.

It is a super-2 number, since 2×20345414322 = 8278717677049221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2034541432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034541433) 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, 120843 + ... + 136645.

It is an arithmetic number, because the mean of its divisors is an integer number (52548300).

Almost surely, 22034541432 is an apocalyptic number.

2034541432 is a gapful number since it is divisible by the number (22) 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 2034541432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522318400).

2034541432 is an abundant number, since it is smaller than the sum of its proper divisors (3010095368).

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

2034541432 is a wasteful number, since it uses less digits than its factorization.

2034541432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15857 (or 15842 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2034541432 is about 45105.8913225313. The cubic root of 2034541432 is about 1267.1329359441.

Adding to 2034541432 its reverse (2341454302), we get a palindrome (4375995734).

The spelling of 2034541432 in words is "two billion, thirty-four million, five hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 121 133 152 154 209 242 266 308 418 484 532 616 836 847 968 1064 1463 1672 1694 2299 2926 3388 4598 5852 6776 9196 11704 15803 16093 18392 31606 32186 63212 64372 110621 126424 128744 173833 221242 300257 347666 442484 600514 695332 884968 1201028 1216831 1390664 1912163 2101799 2402056 2433662 3302827 3824326 4203598 4867324 6605654 7648652 8407196 9734648 13211308 13385141 15297304 16814392 23119789 26422616 26770282 36331097 46239578 53540564 72662194 92479156 107081128 145324388 184958312 254317679 290648776 508635358 1017270716 2034541432