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83434377 = 313191091033
BaseRepresentation
bin1001111100100…
…01101110001001
312210222220110010
410332101232021
5132324400002
612140142133
72032115625
oct476215611
9183886403
1083434377
1143107534
1223b37949
1314393670
14b11c185
1574d146c
hex4f91b89

83434377 has 32 divisors (see below), whose sum is σ = 127388800. Its totient is φ = 48148992.

The previous prime is 83434367. The next prime is 83434399. The reversal of 83434377 is 77343438.

It is a de Polignac number, because none of the positive numbers 2k-83434377 is a prime.

It is a super-2 number, since 2×834343772 = 13922590530756258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83434357) 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, 80253 + ... + 81285.

It is an arithmetic number, because the mean of its divisors is an integer number (3980900).

Almost surely, 283434377 is an apocalyptic number.

It is an amenable number.

83434377 is a deficient number, since it is larger than the sum of its proper divisors (43954423).

83434377 is a wasteful number, since it uses less digits than its factorization.

83434377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177.

The product of its digits is 169344, while the sum is 39.

The square root of 83434377 is about 9134.2420046767. The cubic root of 83434377 is about 436.9667006099.

It can be divided in two parts, 8343 and 4377, that added together give a triangular number (12720 = T159).

The spelling of 83434377 in words is "eighty-three million, four hundred thirty-four thousand, three hundred seventy-seven".

Divisors: 1 3 13 19 39 57 109 247 327 741 1033 1417 2071 3099 4251 6213 13429 19627 26923 40287 58881 80769 112597 255151 337791 765453 1463761 2139343 4391283 6418029 27811459 83434377