Search a number
-
+
1356404238 = 233737293331
BaseRepresentation
bin101000011011001…
…0001011000001110
310111112022110211000
41100312101120032
510234214413423
6342332241130
745420150210
oct12066213016
93445273730
101356404238
11636722642
1231a3101a6
13188026377
14cc2045b0
157e132843
hex50d9160e

1356404238 has 128 divisors (see below), whose sum is σ = 3560739840. Its totient is φ = 374647680.

The previous prime is 1356404221. The next prime is 1356404239. The reversal of 1356404238 is 8324046531.

1356404238 is a `hidden beast` number, since 1 + 3 + 5 + 640 + 4 + 2 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356404239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4097733 + ... + 4098063.

It is an arithmetic number, because the mean of its divisors is an integer number (27818280).

Almost surely, 21356404238 is an apocalyptic number.

1356404238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356404238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780369920).

1356404238 is an abundant number, since it is smaller than the sum of its proper divisors (2204335602).

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

1356404238 is a wasteful number, since it uses less digits than its factorization.

1356404238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1356404238 is about 36829.3936686446. The cubic root of 1356404238 is about 1106.9543536234.

The spelling of 1356404238 in words is "one billion, three hundred fifty-six million, four hundred four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 293 331 333 378 518 586 662 666 777 879 993 999 1554 1758 1986 1998 2051 2317 2331 2637 2979 4102 4634 4662 5274 5958 6153 6951 6993 7911 8937 10841 12247 12306 13902 13986 15822 17874 18459 20853 21682 24494 32523 36741 36918 41706 55377 62559 65046 73482 75887 85729 96983 97569 110223 110754 125118 151774 171458 193966 195138 220446 227661 257187 290949 292707 330669 455322 514374 581898 585414 661338 678881 682983 771561 872847 1357762 1365966 1543122 1745694 2036643 2048949 2314683 2618541 3588371 4073286 4097898 4629366 5237082 6109929 7176742 10765113 12219858 18329787 21530226 25118597 32295339 36659574 50237194 64590678 75355791 96886017 150711582 193772034 226067373 452134746 678202119 1356404238