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75350340 = 223251322477
BaseRepresentation
bin1000111110111…
…00000101000100
312020210012020100
410133130011010
5123242202330
611251004100
71603316202
oct437340504
9166705210
1075350340
113959590a
1221299630
13127c2c00
14a016072
156936060
hex47dc144

75350340 has 108 divisors (see below), whose sum is σ = 247596804. Its totient is φ = 18540288.

The previous prime is 75350339. The next prime is 75350377. The reversal of 75350340 is 4305357.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14884164 + 60466176 = 3858^2 + 7776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29182 + ... + 31658.

It is an arithmetic number, because the mean of its divisors is an integer number (2292563).

Almost surely, 275350340 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 75350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123798402).

75350340 is an abundant number, since it is smaller than the sum of its proper divisors (172246464).

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

75350340 is a wasteful number, since it uses less digits than its factorization.

75350340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 75350340 is about 8680.4573612224. The cubic root of 75350340 is about 422.3719533074.

Adding to 75350340 its reverse (4305357), we get a palindrome (79655697).

The spelling of 75350340 in words is "seventy-five million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2477 2535 3042 3380 4954 5070 6084 7431 7605 9908 10140 12385 14862 15210 22293 24770 29724 30420 32201 37155 44586 49540 64402 74310 89172 96603 111465 128804 148620 161005 193206 222930 289809 322010 386412 418613 445860 483015 579618 644020 837226 966030 1159236 1255839 1449045 1674452 1932060 2093065 2511678 2898090 3767517 4186130 5023356 5796180 6279195 7535034 8372260 12558390 15070068 18837585 25116780 37675170 75350340