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34345520 = 24511311259
BaseRepresentation
bin1000001100000…
…1001000110000
32101121221012022
42003001020300
532243024040
63224051012
7564634466
oct203011060
971557168
1034345520
1118429330
12b603a68
137166bc1
1447c0836
1530366b5
hex20c1230

34345520 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 12076800.

The previous prime is 34345511. The next prime is 34345547. The reversal of 34345520 is 2554343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×343455202 = 2359229488140800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34345520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26651 + ... + 27909.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 234345520 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 34345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

34345520 is an abundant number, since it is smaller than the sum of its proper divisors (55648720).

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

34345520 is a wasteful number, since it uses less digits than its factorization.

34345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 34345520 is about 5860.5050976857. The cubic root of 34345520 is about 325.0548861938.

Adding to 34345520 its reverse (2554343), we get a palindrome (36899863).

The spelling of 34345520 in words is "thirty-four million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1259 1364 1705 2480 2518 2728 3410 5036 5456 6295 6820 10072 12590 13640 13849 20144 25180 27280 27698 39029 50360 55396 69245 78058 100720 110792 138490 156116 195145 221584 276980 312232 390290 429319 553960 624464 780580 858638 1107920 1561160 1717276 2146595 3122320 3434552 4293190 6869104 8586380 17172760 34345520