Search a number
-
+
4345413030 = 2325715743933
BaseRepresentation
bin1000000110000000…
…11011110110100110
3102012211122212001100
410003000123312212
532344411204110
61555105140530
7212453254440
oct40300336646
912184585040
104345413030
11192a966142
12a1332a746
1354335cb1a
142d3189490
151a6754bc0
hex10301bda6

4345413030 has 96 divisors (see below), whose sum is σ = 12994622784. Its totient is φ = 986888448.

The previous prime is 4345413013. The next prime is 4345413043. The reversal of 4345413030 is 303145434.

It is a super-2 number, since 2×43454130302 = 37765228802587561800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4345412985 and 4345413003.

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, 76944 + ... + 120876.

It is an arithmetic number, because the mean of its divisors is an integer number (135360654).

Almost surely, 24345413030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497311392).

4345413030 is an abundant number, since it is smaller than the sum of its proper divisors (8649209754).

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

4345413030 is a wasteful number, since it uses less digits than its factorization.

4345413030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44110 (or 44107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4345413030 is about 65919.7468896840. The cubic root of 4345413030 is about 1631.8379195835.

Adding to 4345413030 its reverse (303145434), we get a palindrome (4648558464).

The spelling of 4345413030 in words is "four billion, three hundred forty-five million, four hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 157 210 314 315 471 630 785 942 1099 1413 1570 2198 2355 2826 3297 4710 5495 6594 7065 9891 10990 14130 16485 19782 32970 43933 49455 87866 98910 131799 219665 263598 307531 395397 439330 615062 658995 790794 922593 1317990 1537655 1845186 1976985 2767779 3075310 3953970 4612965 5535558 6897481 9225930 13794962 13838895 20692443 27677790 34487405 41384886 48282367 62077329 68974810 96564734 103462215 124154658 144847101 206924430 241411835 289694202 310386645 434541303 482823670 620773290 724235505 869082606 1448471010 2172706515 4345413030