Search a number
-
+
430693380 = 2232513184057
BaseRepresentation
bin11001101010111…
…101110000000100
31010000102111020200
4121222331300010
51340224142010
6110423130500
713446555555
oct3152756004
91100374220
10430693380
1120112a347
121002a3a30
136b2ca070
14412b432c
1527c27cc0
hex19abdc04

430693380 has 72 divisors (see below), whose sum is σ = 1406939352. Its totient is φ = 106016256.

The previous prime is 430693379. The next prime is 430693381. The reversal of 430693380 is 83396034.

It is an interprime number because it is at equal distance from previous prime (430693379) and next prime (430693381).

It can be written as a sum of positive squares in 4 ways, for example, as 102576384 + 328116996 = 10128^2 + 18114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (430693381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89689 + ... + 94368.

Almost surely, 2430693380 is an apocalyptic number.

It is an amenable number.

430693380 is an abundant number, since it is smaller than the sum of its proper divisors (976245972).

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

430693380 is a wasteful number, since it uses less digits than its factorization.

430693380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184085 (or 184080 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 430693380 is about 20753.1534953125. The cubic root of 430693380 is about 755.1897130088.

The spelling of 430693380 in words is "four hundred thirty million, six hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 184057 368114 552171 736228 920285 1104342 1656513 1840570 2208684 2392741 2760855 3313026 3681140 4785482 5521710 6626052 7178223 8282565 9570964 11043420 11963705 14356446 16565130 21534669 23927410 28712892 33130260 35891115 43069338 47854820 71782230 86138676 107673345 143564460 215346690 430693380