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434003922 = 2321147149313
BaseRepresentation
bin11001110111100…
…101111111010010
31010020122200110100
4121313211333102
51342101111142
6111022113230
713516654362
oct3167457722
91106580410
10434003922
11202a90630
1210141b816
136bbb8b71
14418d69a2
152817db4c
hex19de5fd2

434003922 has 96 divisors (see below), whose sum is σ = 1058054400. Its totient is φ = 127445760.

The previous prime is 434003903. The next prime is 434003923. The reversal of 434003922 is 229300434.

It is a happy number.

It is a super-2 number, since 2×4340039222 = 376718808622764168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434003923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1386438 + ... + 1386750.

It is an arithmetic number, because the mean of its divisors is an integer number (11021400).

Almost surely, 2434003922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434003922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529027200).

434003922 is an abundant number, since it is smaller than the sum of its proper divisors (624050478).

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

434003922 is a wasteful number, since it uses less digits than its factorization.

434003922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 434003922 is about 20832.7607867992. The cubic root of 434003922 is about 757.1197084686.

The spelling of 434003922 in words is "four hundred thirty-four million, three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 149 198 282 298 313 423 447 517 626 846 894 939 1034 1341 1551 1639 1878 2682 2817 3102 3278 3443 4653 4917 5634 6886 7003 9306 9834 10329 14006 14711 14751 20658 21009 29422 29502 30987 42018 44133 46637 61974 63027 77033 88266 93274 126054 132399 139911 154066 161821 231099 264798 279822 323642 419733 462198 485463 513007 693297 839466 970926 1026014 1386594 1456389 1539021 2191939 2912778 3078042 4383878 4617063 6575817 9234126 13151634 19727451 24111329 39454902 48222658 72333987 144667974 217001961 434003922