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434301040 = 24517319339
BaseRepresentation
bin11001111000101…
…110100001110000
31010021012210000201
4121320232201300
51342140113130
6111032324544
713522332535
oct3170564160
91107183021
10434301040
11203173888
12101543754
136bc91184
1441972d8c
15281dbbca
hex19e2e870

434301040 has 40 divisors (see below), whose sum is σ = 1069150320. Its totient is φ = 163501056.

The previous prime is 434300981. The next prime is 434301053. The reversal of 434301040 is 40103434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 434300999 and 434301017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158310 + ... + 161029.

It is an arithmetic number, because the mean of its divisors is an integer number (26728758).

Almost surely, 2434301040 is an apocalyptic number.

434301040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434301040 is an abundant number, since it is smaller than the sum of its proper divisors (634849280).

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

434301040 is a wasteful number, since it uses less digits than its factorization.

434301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319369 (or 319363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 434301040 is about 20839.8905947224. The cubic root of 434301040 is about 757.2924431432.

Adding to 434301040 its reverse (40103434), we get a palindrome (474404474).

The spelling of 434301040 in words is "four hundred thirty-four million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 319339 638678 1277356 1596695 2554712 3193390 5109424 5428763 6386780 10857526 12773560 21715052 25547120 27143815 43430104 54287630 86860208 108575260 217150520 434301040