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2401441434 = 2327731311993
BaseRepresentation
bin1000111100100011…
…0001011010011010
320012100201212100100
42033020301122122
514404232111214
61034143120230
7113336625660
oct21710613232
96170655310
102401441434
111022607547
125702a3076
132c36a1a82
1418ad16c30
15e0c5d309
hex8f23169a

2401441434 has 96 divisors (see below), whose sum is σ = 6076946304. Its totient is φ = 671224320.

The previous prime is 2401441421. The next prime is 2401441439. The reversal of 2401441434 is 4341441042.

2401441434 is a `hidden beast` number, since 240 + 1 + 4 + 414 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2401441398 and 2401441407.

It is not an unprimeable number, because it can be changed into a prime (2401441439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203942 + ... + 1205934.

It is an arithmetic number, because the mean of its divisors is an integer number (63301524).

Almost surely, 22401441434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038473152).

2401441434 is an abundant number, since it is smaller than the sum of its proper divisors (3675504870).

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

2401441434 is a wasteful number, since it uses less digits than its factorization.

2401441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2401441434 is about 49004.5042215509. The cubic root of 2401441434 is about 1339.1338863584.

Adding to 2401441434 its reverse (4341441042), we get a palindrome (6742882476).

The spelling of 2401441434 in words is "two billion, four hundred one million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 131 146 219 262 393 438 511 657 786 917 1022 1179 1314 1533 1834 1993 2358 2751 3066 3986 4599 5502 5979 8253 9198 9563 11958 13951 16506 17937 19126 27902 28689 35874 41853 57378 66941 83706 86067 125559 133882 145489 172134 200823 251118 261083 290978 401646 436467 522166 602469 783249 872934 1018423 1204938 1309401 1566498 1827581 2036846 2349747 2618802 3055269 3655162 4699494 5482743 6110538 9165807 10965486 16448229 18331614 19059059 32896458 38118118 57177177 114354354 133413413 171531531 266826826 343063062 400240239 800480478 1200720717 2401441434