Search a number
-
+
33452034440 = 23511232143719
BaseRepresentation
bin11111001001111001…
…011000100110001000
310012100022220102101112
4133021321120212020
51022002210100230
623211225105452
72262654413126
oct371171304610
9105308812345
1033452034440
111320688a660
126597028288
133201609326
141894abc916
15d0bc0dd95
hex7c9e58988

33452034440 has 96 divisors (see below), whose sum is σ = 85835332800. Its totient is φ = 11635409280.

The previous prime is 33452034419. The next prime is 33452034449. The reversal of 33452034440 is 4443025433.

It is a super-2 number, since 2×334520344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33452034397 and 33452034406.

It is not an unprimeable number, because it can be changed into a prime (33452034449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160901 + ... + 304619.

It is an arithmetic number, because the mean of its divisors is an integer number (894118050).

Almost surely, 233452034440 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 33452034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42917666400).

33452034440 is an abundant number, since it is smaller than the sum of its proper divisors (52383298360).

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

33452034440 is a wasteful number, since it uses less digits than its factorization.

33452034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143787 (or 143760 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 33452034440 its reverse (4443025433), we get a palindrome (37895059873).

The spelling of 33452034440 in words is "thirty-three billion, four hundred fifty-two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 529 920 1012 1058 1265 2024 2116 2530 2645 4232 5060 5290 5819 10120 10580 11638 21160 23276 29095 46552 58190 116380 143719 232760 287438 574876 718595 1149752 1437190 1580909 2874380 3161818 3305537 5748760 6323636 6611074 7904545 12647272 13222148 15809090 16527685 26444296 31618180 33055370 36360907 63236360 66110740 72721814 76027351 132221480 145443628 152054702 181804535 290887256 304109404 363609070 380136755 608218808 727218140 760273510 836300861 1454436280 1520547020 1672601722 3041094040 3345203444 4181504305 6690406888 8363008610 16726017220 33452034440