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102434046 = 231113277431
BaseRepresentation
bin1100001101100…
…00010011111110
321010202012002120
412012300103332
5202210342141
614055303410
72352450351
oct606602376
9233665076
10102434046
1152904240
122a37ab66
13182b6680
14d866298
158ed5c66
hex61b04fe

102434046 has 64 divisors (see below), whose sum is σ = 242113536. Its totient is φ = 28483200.

The previous prime is 102434011. The next prime is 102434047. The reversal of 102434046 is 640434201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102434047) 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, 237451 + ... + 237881.

It is an arithmetic number, because the mean of its divisors is an integer number (3783024).

Almost surely, 2102434046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102434046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121056768).

102434046 is an abundant number, since it is smaller than the sum of its proper divisors (139679490).

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

102434046 is a wasteful number, since it uses less digits than its factorization.

102434046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737.

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

The square root of 102434046 is about 10120.9706056287. The cubic root of 102434046 is about 467.8946819042.

Adding to 102434046 its reverse (640434201), we get a palindrome (742868247).

The spelling of 102434046 in words is "one hundred two million, four hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 277 286 429 431 554 831 858 862 1293 1662 2586 3047 3601 4741 5603 6094 7202 9141 9482 10803 11206 14223 16809 18282 21606 28446 33618 39611 61633 79222 118833 119387 123266 184899 237666 238774 358161 369798 716322 1313257 1552031 2626514 3104062 3939771 4656093 7879542 9312186 17072341 34144682 51217023 102434046