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83434960 = 2457148991
BaseRepresentation
bin1001111100100…
…01110111010000
312210222221020201
410332101313100
5132324404320
612140144544
72032120420
oct476216720
9183887221
1083434960
1143107a14
1223b38154
13143939cb
14b11c480
1574d170a
hex4f91dd0

83434960 has 40 divisors (see below), whose sum is σ = 221700096. Its totient is φ = 28606080.

The previous prime is 83434957. The next prime is 83434969. The reversal of 83434960 is 6943438.

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

It is a super-2 number, since 2×834349602 = 13922785100403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83434969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73936 + ... + 75055.

Almost surely, 283434960 is an apocalyptic number.

83434960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83434960 is an abundant number, since it is smaller than the sum of its proper divisors (138265136).

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

83434960 is a wasteful number, since it uses less digits than its factorization.

83434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149011 (or 149005 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 83434960 is about 9134.2739175043. The cubic root of 83434960 is about 436.9677183798.

The spelling of 83434960 in words is "eighty-three million, four hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 148991 297982 595964 744955 1042937 1191928 1489910 2085874 2383856 2979820 4171748 5214685 5959640 8343496 10429370 11919280 16686992 20858740 41717480 83434960