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34401348 = 2234891193
BaseRepresentation
bin1000001100111…
…0110001000100
32101201202210000
42003032301010
532301320343
63225201300
7565256322
oct203166104
971652700
1034401348
1118467273
12b630230
137186437
1447d6d12
153047ed3
hex20cec44

34401348 has 60 divisors (see below), whose sum is σ = 91018620. Its totient is φ = 11328768.

The previous prime is 34401347. The next prime is 34401359. The reversal of 34401348 is 84310443.

It can be written as a sum of positive squares in 2 ways, for example, as 11819844 + 22581504 = 3438^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34401347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28240 + ... + 29432.

It is an arithmetic number, because the mean of its divisors is an integer number (1516977).

Almost surely, 234401348 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 34401348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45509310).

34401348 is an abundant number, since it is smaller than the sum of its proper divisors (56617272).

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

34401348 is a wasteful number, since it uses less digits than its factorization.

34401348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34401348 is about 5865.2662343665. The cubic root of 34401348 is about 325.2309143961.

The spelling of 34401348 in words is "thirty-four million, four hundred one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1193 1602 2386 2403 3204 3579 4772 4806 7158 7209 9612 10737 14316 14418 21474 28836 32211 42948 64422 96633 106177 128844 193266 212354 318531 386532 424708 637062 955593 1274124 1911186 2866779 3822372 5733558 8600337 11467116 17200674 34401348