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345383544 = 233112774723
BaseRepresentation
bin10100100101100…
…010001001111000
3220001220022011010
4110211202021320
51201404233134
654134433520
711362466052
oct2445421170
9801808133
10345383544
11167a61850
12978028a0
135672ab7c
1433c288d2
15204c5ce9
hex14962278

345383544 has 64 divisors (see below), whose sum is σ = 945555840. Its totient is φ = 104261760.

The previous prime is 345383531. The next prime is 345383557. The reversal of 345383544 is 445383543.

It is an interprime number because it is at equal distance from previous prime (345383531) and next prime (345383557).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70767 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (14774310).

Almost surely, 2345383544 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 345383544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472777920).

345383544 is an abundant number, since it is smaller than the sum of its proper divisors (600172296).

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

345383544 is a wasteful number, since it uses less digits than its factorization.

345383544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5016 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 345383544 is about 18584.4974104763. The cubic root of 345383544 is about 701.6177170400.

Subtracting 345383544 from its reverse (445383543), we obtain a palindrome (99999999).

The spelling of 345383544 in words is "three hundred forty-five million, three hundred eighty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 277 554 831 1108 1662 2216 3047 3324 4723 6094 6648 9141 9446 12188 14169 18282 18892 24376 28338 36564 37784 51953 56676 73128 103906 113352 155859 207812 311718 415624 623436 1246872 1308271 2616542 3924813 5233084 7849626 10466168 14390981 15699252 28781962 31398504 43172943 57563924 86345886 115127848 172691772 345383544