Search a number
-
+
3414343020240 = 243525156679001
BaseRepresentation
bin110001101011110110101…
…100111110111011010000
3110002102000102202120022210
4301223312230332323100
5421420033303121430
611132305540232120
7501451413550455
oct61536654767320
913072012676283
103414343020240
1110a7018694509
1247188069b640
131b9c8185b369
14bb37dd4382c
155dc3542b2b0
hex31af6b3eed0

3414343020240 has 80 divisors (see below), whose sum is σ = 10626632726976. Its totient is φ = 906864000000.

The previous prime is 3414343020239. The next prime is 3414343020247. The reversal of 3414343020240 is 420203434143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3414343020198 and 3414343020207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414343020247) 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, 28279261 + ... + 28399740.

Almost surely, 23414343020240 is an apocalyptic number.

3414343020240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414343020240 is an abundant number, since it is smaller than the sum of its proper divisors (7212289706736).

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

3414343020240 is a wasteful number, since it uses less digits than its factorization.

3414343020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56679268 (or 56679262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3414343020240 its reverse (420203434143), we get a palindrome (3834546454383).

The spelling of 3414343020240 in words is "three trillion, four hundred fourteen billion, three hundred forty-three million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 10040 12048 15060 20080 30120 60240 56679001 113358002 170037003 226716004 283395005 340074006 453432008 566790010 680148012 850185015 906864016 1133580020 1360296024 1700370030 2267160040 2720592048 3400740060 4534320080 6801480120 13602960240 14226429251 28452858502 42679287753 56905717004 71132146255 85358575506 113811434008 142264292510 170717151012 213396438765 227622868016 284528585020 341434302024 426792877530 569057170040 682868604048 853585755060 1138114340080 1707171510120 3414343020240