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419398434 = 232713534831
BaseRepresentation
bin11000111111111…
…000001100100010
31002020011122111100
4120333320030202
51324331222214
6105341055230
713251553650
oct3077701442
91066148440
10419398434
111a5815284
12b8557516
1368b73c70
143d9b3dd0
1526c46309
hex18ff8322

419398434 has 96 divisors (see below), whose sum is σ = 1139733504. Its totient is φ = 108501120.

The previous prime is 419398429. The next prime is 419398453. The reversal of 419398434 is 434893914.

It is a happy number.

419398434 is a `hidden beast` number, since 41 + 93 + 98 + 434 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 419398434.

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, 84399 + ... + 89229.

It is an arithmetic number, because the mean of its divisors is an integer number (11872224).

Almost surely, 2419398434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419398434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569866752).

419398434 is an abundant number, since it is smaller than the sum of its proper divisors (720335070).

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

419398434 is a wasteful number, since it uses less digits than its factorization.

419398434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4909 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 419398434 is about 20479.2195652080. The cubic root of 419398434 is about 748.5295241519.

The spelling of 419398434 in words is "four hundred nineteen million, three hundred ninety-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 159 182 234 273 318 371 477 546 689 742 819 954 1113 1378 1638 2067 2226 3339 4134 4823 4831 6201 6678 9646 9662 12402 14469 14493 28938 28986 33817 43407 43479 62803 67634 86814 86958 101451 125606 188409 202902 256043 304353 376818 439621 512086 565227 608706 768129 879242 1130454 1318863 1536258 1792301 2304387 2637726 3328559 3584602 3956589 4608774 5376903 6657118 7913178 9985677 10753806 16130709 19971354 23299913 29957031 32261418 46599826 59914062 69899739 139799478 209699217 419398434