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83474430 = 235131931109
BaseRepresentation
bin1001111100110…
…11011111111110
312211001221101120
410332123133332
5132332140210
612141051410
72032343454
oct476333776
9184057346
1083474430
1143134636
1223b56b66
13143a8970
14b12c9d4
1574dd270
hex4f9b7fe

83474430 has 64 divisors (see below), whose sum is σ = 217062720. Its totient is φ = 20422656.

The previous prime is 83474407. The next prime is 83474431. The reversal of 83474430 is 3447438.

It is a junction number, because it is equal to n+sod(n) for n = 83474391 and 83474400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83474431) 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, 74716 + ... + 75824.

It is an arithmetic number, because the mean of its divisors is an integer number (3391605).

Almost surely, 283474430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83474430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108531360).

83474430 is an abundant number, since it is smaller than the sum of its proper divisors (133588290).

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

83474430 is a wasteful number, since it uses less digits than its factorization.

83474430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 83474430 is about 9136.4342059690. The cubic root of 83474430 is about 437.0366119504.

The spelling of 83474430 in words is "eighty-three million, four hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 965 1109 1158 1930 2218 2509 2895 3327 5018 5545 5790 6654 7527 11090 12545 14417 15054 16635 25090 28834 33270 37635 43251 72085 75270 86502 144170 214037 216255 428074 432510 642111 1070185 1284222 2140370 2782481 3210555 5564962 6421110 8347443 13912405 16694886 27824810 41737215 83474430