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102434032 = 2429257859
BaseRepresentation
bin1100001101100…
…00010011110000
321010202012002001
412012300103300
5202210342112
614055303344
72352450331
oct606602360
9233665061
10102434032
1152904228
122a37ab54
13182b666c
14d866288
158ed5c57
hex61b04f0

102434032 has 40 divisors (see below), whose sum is σ = 206348400. Its totient is φ = 49201152.

The previous prime is 102434011. The next prime is 102434047. The reversal of 102434032 is 230434201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118819 + ... + 119677.

It is an arithmetic number, because the mean of its divisors is an integer number (5158710).

Almost surely, 2102434032 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 102434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103174200).

102434032 is an abundant number, since it is smaller than the sum of its proper divisors (103914368).

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

102434032 is a wasteful number, since it uses less digits than its factorization.

102434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 102434032 is about 10120.9699139954. The cubic root of 102434032 is about 467.8946605879.

Adding to 102434032 its reverse (230434201), we get a palindrome (332868233).

The spelling of 102434032 in words is "one hundred two million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 859 1028 1718 2056 3436 4112 6872 7453 13744 14906 24911 29812 49822 59624 99644 119248 199288 220763 398576 441526 883052 1766104 3532208 6402127 12804254 25608508 51217016 102434032