Search a number
-
+
356691120340 = 2251923137297893
BaseRepresentation
bin1010011000011000111…
…00101001000011010100
31021002200102021022220211
411030030130221003110
521321000411322330
6431510040335204
734525065332512
oct5141434510324
91232612238824
10356691120340
111282a9925075
1259167174504
1327835bb7b29
141339a3874b2
1594296a7d2a
hex530c7290d4

356691120340 has 96 divisors (see below), whose sum is σ = 828764939520. Its totient is φ = 128346172416.

The previous prime is 356691120329. The next prime is 356691120341. The reversal of 356691120340 is 43021196653.

It is a junction number, because it is equal to n+sod(n) for n = 356691120293 and 356691120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356691120341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048434 + ... + 1346326.

It is an arithmetic number, because the mean of its divisors is an integer number (8632968120).

Almost surely, 2356691120340 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 356691120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414382469760).

356691120340 is an abundant number, since it is smaller than the sum of its proper divisors (472073819180).

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

356691120340 is a wasteful number, since it uses less digits than its factorization.

356691120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298081 (or 298079 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 356691120340 in words is "three hundred fifty-six billion, six hundred ninety-one million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 137 190 230 274 380 437 460 548 685 874 1370 1748 2185 2603 2740 3151 4370 5206 6302 8740 10412 12604 13015 15755 26030 31510 52060 59869 63020 119738 239476 297893 299345 595786 598690 1191572 1197380 1489465 2978930 5659967 5957860 6851539 11319934 13703078 22639868 27406156 28299835 34257695 40811341 56599670 68515390 81622682 113199340 130179241 137030780 163245364 204056705 260358482 408113410 520716964 650896205 775415479 816226820 938660843 1301792410 1550830958 1877321686 2603584820 3101661916 3754643372 3877077395 4693304215 7754154790 9386608430 15508309580 17834556017 18773216860 35669112034 71338224068 89172780085 178345560170 356691120340