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434104132 = 2272112953131
BaseRepresentation
bin11001110111111…
…110011101000100
31010020211202220211
4121313332131010
51342112313012
6111024205204
713520552500
oct3167763504
91106752824
10434104132
11203049950
12101469804
136bc22667
1441921300
152819d6a7
hex19dfe744

434104132 has 144 divisors (see below), whose sum is σ = 1023865920. Its totient is φ = 158995200.

The previous prime is 434104127. The next prime is 434104141. The reversal of 434104132 is 231401434.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3313707 + ... + 3313837.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2434104132 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 434104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511932960).

434104132 is an abundant number, since it is smaller than the sum of its proper divisors (589761788).

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

434104132 is a wasteful number, since it uses less digits than its factorization.

434104132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 434104132 is about 20835.1657540803. The cubic root of 434104132 is about 757.1779760889.

Adding to 434104132 its reverse (231401434), we get a palindrome (665505566).

The spelling of 434104132 in words is "four hundred thirty-four million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 53 58 77 98 106 116 131 154 196 203 212 262 308 319 371 406 524 539 583 638 742 812 917 1078 1166 1276 1421 1441 1484 1537 1834 2156 2233 2332 2597 2842 2882 3074 3668 3799 4081 4466 5194 5684 5764 6148 6419 6943 7598 8162 8932 10087 10388 10759 12838 13886 15196 15631 16324 16907 20174 21518 25676 26593 27772 28567 31262 33814 40348 41789 43036 48601 53186 57134 62524 67628 70609 75313 76373 83578 97202 106372 114268 118349 141218 150626 152746 167156 186151 194404 201347 236698 282436 292523 301252 305492 340207 372302 402694 473396 534611 585046 680414 744604 805388 828443 1069222 1170092 1360828 1409429 1656886 2047661 2138444 2214817 2818858 3313772 3742277 4095322 4429634 5637716 7484554 8190644 8859268 9866003 14969108 15503719 19732006 31007438 39464012 62014876 108526033 217052066 434104132