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406934190 = 2325132831229
BaseRepresentation
bin11000010000010…
…101001010101110
31001100201101202200
4120100111022232
51313133343230
6104214002330
713040612025
oct3020251256
91040641680
10406934190
11199781753
12b43463a6
13663cb880
143c08b8bc
1525ad3160
hex184152ae

406934190 has 96 divisors (see below), whose sum is σ = 1144372320. Its totient is φ = 99733248.

The previous prime is 406934189. The next prime is 406934201. The reversal of 406934190 is 91439604.

It is a super-2 number, since 2×4069341902 = 331190869981912200, which contains 22 as substring.

It is a congruent number.

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, 330496 + ... + 331724.

It is an arithmetic number, because the mean of its divisors is an integer number (11920545).

Almost surely, 2406934190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406934190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572186160).

406934190 is an abundant number, since it is smaller than the sum of its proper divisors (737438130).

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

406934190 is a wasteful number, since it uses less digits than its factorization.

406934190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 406934190 is about 20172.6098955985. The cubic root of 406934190 is about 741.0395603568.

The spelling of 406934190 in words is "four hundred six million, nine hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 283 390 566 585 849 1170 1229 1415 1698 2458 2547 2830 3679 3687 4245 5094 6145 7358 7374 8490 11037 11061 12290 12735 15977 18395 18435 22074 22122 25470 31954 33111 36790 36870 47931 55185 55305 66222 79885 95862 110370 110610 143793 159770 165555 239655 287586 331110 347807 479310 695614 718965 1043421 1437930 1739035 2086842 3130263 3478070 4521491 5217105 6260526 9042982 10434210 13564473 15651315 22607455 27128946 31302630 40693419 45214910 67822365 81386838 135644730 203467095 406934190