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34050040420 = 22511236729257
BaseRepresentation
bin11111101101100010…
…100110001001100100
310020220000011021101011
4133231202212021210
51024213302243140
623350430312004
72313535365604
oct375542461144
9106800137334
1034050040420
11134933a6380
126723358604
133298487416
1419102a6c04
15d44485cea
hex7ed8a6264

34050040420 has 48 divisors (see below), whose sum is σ = 81397104768. Its totient is φ = 11843490560.

The previous prime is 34050040403. The next prime is 34050040421. The reversal of 34050040420 is 2404005043.

It is a happy number.

It is a super-3 number, since 3×340500404203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34050040391 and 34050040400.

It is not an unprimeable number, because it can be changed into a prime (34050040421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3359569 + ... + 3369688.

It is an arithmetic number, because the mean of its divisors is an integer number (1695773016).

Almost surely, 234050040420 is an apocalyptic number.

It is an amenable number.

34050040420 is an abundant number, since it is smaller than the sum of its proper divisors (47347064348).

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

34050040420 is a wasteful number, since it uses less digits than its factorization.

34050040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729300 (or 6729298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 34050040420 its reverse (2404005043), we get a palindrome (36454045463).

The spelling of 34050040420 in words is "thirty-four billion, fifty million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 6729257 13458514 26917028 33646285 67292570 74021827 134585140 148043654 154772911 296087308 309545822 370109135 619091644 740218270 773864555 1480436540 1547729110 1702502021 3095458220 3405004042 6810008084 8512510105 17025020210 34050040420