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94434432 = 273317933
BaseRepresentation
bin1011010000011…
…11010010000000
320120200202200120
411220033102000
5143133400212
613212020240
72224452021
oct550172200
9216622616
1094434432
114933aa94
1227761680
1316745481
14c782c48
15845588c
hex5a0f480

94434432 has 64 divisors (see below), whose sum is σ = 258965760. Its totient is φ = 30458880.

The previous prime is 94434409. The next prime is 94434451. The reversal of 94434432 is 23443449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 94434393 and 94434402.

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, 7938 + ... + 15870.

It is an arithmetic number, because the mean of its divisors is an integer number (4046340).

Almost surely, 294434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129482880).

94434432 is an abundant number, since it is smaller than the sum of its proper divisors (164531328).

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

94434432 is a wasteful number, since it uses less digits than its factorization.

94434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7969 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 94434432 is about 9717.7380084050. The cubic root of 94434432 is about 455.3829758702.

The spelling of 94434432 in words is "ninety-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 7933 11904 15866 23799 31732 47598 63464 95196 126928 190392 245923 253856 380784 491846 507712 737769 761568 983692 1015424 1475538 1523136 1967384 2951076 3046272 3934768 5902152 7869536 11804304 15739072 23608608 31478144 47217216 94434432