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434038077 = 32119374679
BaseRepresentation
bin11001110111101…
…110010100111101
31010020201102022100
4121313232110331
51342103204302
6111022535313
713520156064
oct3167562475
91106642270
10434038077
11203004260
12101437539
136bbcb585
14419051db
1528188d1c
hex19dee53d

434038077 has 24 divisors (see below), whose sum is σ = 684815040. Its totient is φ = 262716480.

The previous prime is 434038069. The next prime is 434038079. The reversal of 434038077 is 770830434.

It is not a de Polignac number, because 434038077 - 23 = 434038069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434038079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90424 + ... + 95102.

It is an arithmetic number, because the mean of its divisors is an integer number (28533960).

Almost surely, 2434038077 is an apocalyptic number.

It is an amenable number.

434038077 is a deficient number, since it is larger than the sum of its proper divisors (250776963).

434038077 is a wasteful number, since it uses less digits than its factorization.

434038077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 434038077 is about 20833.5805132003. The cubic root of 434038077 is about 757.1395690766.

The spelling of 434038077 in words is "four hundred thirty-four million, thirty-eight thousand, seventy-seven".

Divisors: 1 3 9 11 33 99 937 2811 4679 8433 10307 14037 30921 42111 51469 92763 154407 463221 4384223 13152669 39458007 48226453 144679359 434038077