Search a number
-
+
7340856420 = 22352931136093
BaseRepresentation
bin1101101011000110…
…01001010001100100
3200221121010010220010
412311203021101210
5110013224401140
63212232010220
7346625151522
oct66543112144
920847103803
107340856420
1131277a4097
12150a530970
138ccb0a331
144d8d27312
152ce6e8880
hex1b58c9464

7340856420 has 96 divisors (see below), whose sum is σ = 21949240320. Its totient is φ = 1829076480.

The previous prime is 7340856361. The next prime is 7340856461. The reversal of 7340856420 is 246580437.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14107 + ... + 121986.

It is an arithmetic number, because the mean of its divisors is an integer number (228637920).

Almost surely, 27340856420 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 7340856420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974620160).

7340856420 is an abundant number, since it is smaller than the sum of its proper divisors (14608383900).

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

7340856420 is a wasteful number, since it uses less digits than its factorization.

7340856420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136165 (or 136163 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 7340856420 is about 85678.7979607557. The cubic root of 7340856420 is about 1943.4896997129.

The spelling of 7340856420 in words is "seven billion, three hundred forty million, eight hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 8990 10788 13485 17980 26970 53940 136093 272186 408279 544372 680465 816558 1360930 1633116 2041395 2721860 3946697 4082790 4218883 7893394 8165580 8437766 11840091 12656649 15786788 16875532 19733485 21094415 23680182 25313298 39466970 42188830 47360364 50626596 59200455 63283245 78933940 84377660 118400910 122347607 126566490 236801820 244695214 253132980 367042821 489390428 611738035 734085642 1223476070 1468171284 1835214105 2446952140 3670428210 7340856420