Search a number
-
+
642704340 = 223513181769
BaseRepresentation
bin100110010011101…
…110001111010100
31122210100202121110
4212103232033110
52304013014330
6143435215020
721632616405
oct4623561724
91583322543
10642704340
112aa876313
1215b2a7470
13a31cb335
14615019ac
153b655db0
hex264ee3d4

642704340 has 48 divisors (see below), whose sum is σ = 1813331520. Its totient is φ = 170077440.

The previous prime is 642704323. The next prime is 642704353. The reversal of 642704340 is 43407246.

642704340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 642704298 and 642704307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33025 + ... + 48744.

It is an arithmetic number, because the mean of its divisors is an integer number (37777740).

Almost surely, 2642704340 is an apocalyptic number.

642704340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642704340 is an abundant number, since it is smaller than the sum of its proper divisors (1170627180).

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

642704340 is a wasteful number, since it uses less digits than its factorization.

642704340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81912 (or 81910 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 642704340 is about 25351.6141497933. The cubic root of 642704340 is about 862.9859878216.

The spelling of 642704340 in words is "six hundred forty-two million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 81769 163538 245307 327076 408845 490614 817690 981228 1226535 1635380 2453070 4906140 10711739 21423478 32135217 42846956 53558695 64270434 107117390 128540868 160676085 214234780 321352170 642704340