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434144502 = 233114091787
BaseRepresentation
bin11001111000001…
…000010011110110
31010020220211022000
4121320020103312
51342120111002
6111025120130
713521111261
oct3170102366
91106824260
10434144502
11203077210
12101489046
136bc37b4c
1441931cd8
15281aa61c
hex19e084f6

434144502 has 64 divisors (see below), whose sum is σ = 1055635200. Its totient is φ = 131163840.

The previous prime is 434144489. The next prime is 434144507. The reversal of 434144502 is 205441434.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144507) 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, 242053 + ... + 243839.

It is an arithmetic number, because the mean of its divisors is an integer number (16494300).

Almost surely, 2434144502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434144502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527817600).

434144502 is an abundant number, since it is smaller than the sum of its proper divisors (621490698).

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

434144502 is a wasteful number, since it uses less digits than its factorization.

434144502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 434144502 is about 20836.1345263463. The cubic root of 434144502 is about 757.2014468994.

Adding to 434144502 its reverse (205441434), we get a palindrome (639585936).

The spelling of 434144502 in words is "four hundred thirty-four million, one hundred forty-four thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 409 594 818 1227 1787 2454 3574 3681 4499 5361 7362 8998 10722 11043 13497 16083 19657 22086 26994 32166 39314 40491 48249 58971 80982 96498 117942 121473 176913 242946 353826 530739 730883 1061478 1461766 2192649 4385298 6577947 8039713 13155894 16079426 19733841 24119139 39467682 48238278 72357417 144714834 217072251 434144502