Search a number
-
+
3742595430 = 235747379189
BaseRepresentation
bin1101111100010011…
…0111100101100110
3100122211100112202120
43133010313211212
530131101023210
61415212450410
7161513351640
oct33704674546
910584315676
103742595430
111650663382
12885479a06
134784b8912
142770ab890
1516d87c270
hexdf137966

3742595430 has 64 divisors (see below), whose sum is σ = 10483845120. Its totient is φ = 837247104.

The previous prime is 3742595393. The next prime is 3742595431. The reversal of 3742595430 is 345952473.

It is a super-3 number, since 3×37425954303 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742595431) 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 31 ways as a sum of consecutive naturals, for example, 179725 + ... + 199464.

It is an arithmetic number, because the mean of its divisors is an integer number (163810080).

Almost surely, 23742595430 is an apocalyptic number.

3742595430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3742595430 is an abundant number, since it is smaller than the sum of its proper divisors (6741249690).

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

3742595430 is a wasteful number, since it uses less digits than its factorization.

3742595430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379253.

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 3742595430 is about 61176.7556347997. The cubic root of 3742595430 is about 1552.5930138416.

The spelling of 3742595430 in words is "three billion, seven hundred forty-two million, five hundred ninety-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 379189 758378 1137567 1895945 2275134 2654323 3791890 5308646 5687835 7962969 11375670 13271615 15925938 17821883 26543230 35643766 39814845 53465649 79629690 89109415 106931298 124753181 178218830 249506362 267328245 374259543 534656490 623765905 748519086 1247531810 1871297715 3742595430