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7340138352 = 24349116217
BaseRepresentation
bin1101101011000000…
…11001111101110000
3200221112202122220000
412311200121331300
5110013033411402
63212204350000
7346616101161
oct66540317560
920845678800
107340138352
113127353648
12150a245300
138cc918541
144d8bbb768
152ce605c1c
hex1b5819f70

7340138352 has 100 divisors (see below), whose sum is σ = 21271230816. Its totient is φ = 2443633920.

The previous prime is 7340138339. The next prime is 7340138353. The reversal of 7340138352 is 2538310437.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7340138353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1177548 + ... + 1183764.

Almost surely, 27340138352 is an apocalyptic number.

7340138352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7340138352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635615408).

7340138352 is an abundant number, since it is smaller than the sum of its proper divisors (13931092464).

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

7340138352 is a wasteful number, since it uses less digits than its factorization.

7340138352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7340138352 is about 85674.6073933228. The cubic root of 7340138352 is about 1943.4263282120.

Adding to 7340138352 its reverse (2538310437), we get a palindrome (9878448789).

The spelling of 7340138352 in words is "seven billion, three hundred forty million, one hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 911 1296 1822 2733 3644 5466 6217 7288 8199 10932 12434 14576 16398 18651 21864 24597 24868 32796 37302 43728 49194 49736 55953 65592 73791 74604 98388 99472 111906 131184 147582 149208 167859 196776 223812 295164 298416 335718 393552 447624 503577 590328 671436 895248 1007154 1180656 1342872 2014308 2685744 4028616 5663687 8057232 11327374 16991061 22654748 33982122 45309496 50973183 67964244 90618992 101946366 135928488 152919549 203892732 271856976 305839098 407785464 458758647 611678196 815570928 917517294 1223356392 1835034588 2446712784 3670069176 7340138352