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431240106 = 2311371371289
BaseRepresentation
bin11001101101000…
…011001110101010
31010001110021012210
4121231003032222
51340344140411
6110442545550
713454323533
oct3155031652
91101407183
10431240106
11201473090
121005082b6
136b45bb7b
14413b768a
1527cd4ca6
hex19b433aa

431240106 has 64 divisors (see below), whose sum is σ = 974125440. Its totient is φ = 126120960.

The previous prime is 431240099. The next prime is 431240107. The reversal of 431240106 is 601042134.

It is a super-3 number, since 3×4312401063 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (431240107) 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, 333910 + ... + 335198.

It is an arithmetic number, because the mean of its divisors is an integer number (15220710).

Almost surely, 2431240106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431240106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487062720).

431240106 is an abundant number, since it is smaller than the sum of its proper divisors (542885334).

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

431240106 is a wasteful number, since it uses less digits than its factorization.

431240106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 431240106 is about 20766.3214364027. The cubic root of 431240106 is about 755.5091260669.

The spelling of 431240106 in words is "four hundred thirty-one million, two hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 137 222 274 407 411 814 822 1221 1289 1507 2442 2578 3014 3867 4521 5069 7734 9042 10138 14179 15207 28358 30414 42537 47693 55759 85074 95386 111518 143079 167277 176593 286158 334554 353186 524623 529779 1049246 1059558 1573869 1942523 3147738 3885046 5827569 6533941 11655138 13067882 19601823 39203646 71873351 143746702 215620053 431240106