Search a number
-
+
430149726 = 232234373331
BaseRepresentation
bin11001101000111…
…001000001011110
31002222101212111100
4121220321001132
51340104242401
6110403333530
713442132556
oct3150710136
91088355440
10430149726
11200898946
121000812a6
136b169786
14411b2166
1527b6bb86
hex19a3905e

430149726 has 96 divisors (see below), whose sum is σ = 1011808512. Its totient is φ = 131725440.

The previous prime is 430149719. The next prime is 430149743. The reversal of 430149726 is 627941034.

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, 1299381 + ... + 1299711.

It is an arithmetic number, because the mean of its divisors is an integer number (10539672).

Almost surely, 2430149726 is an apocalyptic number.

430149726 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 430149726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505904256).

430149726 is an abundant number, since it is smaller than the sum of its proper divisors (581658786).

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

430149726 is a wasteful number, since it uses less digits than its factorization.

430149726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 430149726 is about 20740.0512535529. The cubic root of 430149726 is about 754.8718265525.

The spelling of 430149726 in words is "four hundred thirty million, one hundred forty-nine thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 43 46 69 73 86 129 138 146 207 219 258 331 387 414 438 657 662 774 989 993 1314 1679 1978 1986 2967 2979 3139 3358 5037 5934 5958 6278 7613 8901 9417 10074 14233 15111 15226 17802 18834 22839 24163 28251 28466 30222 42699 45678 48326 56502 68517 72197 72489 85398 128097 137034 144394 144978 216591 217467 256194 327359 433182 434934 555749 649773 654718 982077 1039009 1111498 1299546 1667247 1964154 2078018 2946231 3117027 3334494 5001741 5892462 6234054 9351081 10003482 18702162 23897207 47794414 71691621 143383242 215074863 430149726