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398348106 = 231353167577
BaseRepresentation
bin10111101111100…
…100111101001010
31000202120011212120
4113233210331022
51303434114411
6103305552110
712604621512
oct2757447512
91022504776
10398348106
11194947912
12b14a5636
13646b3750
143ac94842
1524e89106
hex17be4f4a

398348106 has 64 divisors (see below), whose sum is σ = 880927488. Its totient is φ = 119328768.

The previous prime is 398348101. The next prime is 398348123. The reversal of 398348106 is 601843893.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (398348101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690090 + ... + 690666.

It is an arithmetic number, because the mean of its divisors is an integer number (13764492).

Almost surely, 2398348106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398348106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440463744).

398348106 is an abundant number, since it is smaller than the sum of its proper divisors (482579382).

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

398348106 is a wasteful number, since it uses less digits than its factorization.

398348106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 398348106 is about 19958.6599249549. The cubic root of 398348106 is about 735.7906287035.

The spelling of 398348106 in words is "three hundred ninety-eight million, three hundred forty-eight thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 167 318 334 501 577 689 1002 1154 1378 1731 2067 2171 3462 4134 4342 6513 7501 8851 13026 15002 17702 22503 26553 30581 45006 53106 61162 91743 96359 115063 183486 192718 230126 289077 345189 397553 578154 690378 795106 1192659 1252667 2385318 2505334 3758001 5107027 7516002 10214054 15321081 30642162 66391351 132782702 199174053 398348106