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80034432 = 273297187
BaseRepresentation
bin1001100010100…
…11101010000000
312120121011121020
410301103222000
5130442100212
611535225440
71661165352
oct461235200
9176534536
1080034432
11411a5065
1222978280
1313772c6a
14a8b50d2
15705dd8c
hex4c53a80

80034432 has 64 divisors (see below), whose sum is σ = 219952800. Its totient is φ = 25754624.

The previous prime is 80034401. The next prime is 80034433. The reversal of 80034432 is 23443008.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (80034433) 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, 7543 + ... + 14729.

Almost surely, 280034432 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 80034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109976400).

80034432 is an abundant number, since it is smaller than the sum of its proper divisors (139918368).

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

80034432 is a wasteful number, since it uses less digits than its factorization.

80034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 80034432 is about 8946.1965102495. The cubic root of 80034432 is about 430.9487470524.

The spelling of 80034432 in words is "eighty million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 7187 11136 14374 21561 28748 43122 57496 86244 114992 172488 208423 229984 344976 416846 459968 625269 689952 833692 919936 1250538 1379904 1667384 2501076 2759808 3334768 5002152 6669536 10004304 13339072 20008608 26678144 40017216 80034432