Search a number
-
+
431145330 = 2357111710979
BaseRepresentation
bin11001101100101…
…100000101110010
31010001021110012120
4121230230011302
51340333122310
6110440535110
713453450320
oct3154540562
91101243176
10431145330
11201408960
12100481496
136b4279a5
1441390d10
1527cb6b70
hex19b2c172

431145330 has 128 divisors (see below), whose sum is σ = 1366087680. Its totient is φ = 84311040.

The previous prime is 431145329. The next prime is 431145343. The reversal of 431145330 is 33541134.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 431145330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33781 + ... + 44759.

It is an arithmetic number, because the mean of its divisors is an integer number (10672560).

Almost surely, 2431145330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431145330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683043840).

431145330 is an abundant number, since it is smaller than the sum of its proper divisors (934942350).

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

431145330 is a wasteful number, since it uses less digits than its factorization.

431145330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 431145330 is about 20764.0393469094. The cubic root of 431145330 is about 755.4537745522.

Adding to 431145330 its reverse (33541134), we get a palindrome (464686464).

The spelling of 431145330 in words is "four hundred thirty-one million, one hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2310 2618 2805 3570 3927 5610 6545 7854 10979 13090 19635 21958 32937 39270 54895 65874 76853 109790 120769 153706 164685 186643 230559 241538 329370 362307 373286 384265 461118 559929 603845 724614 768530 845383 933215 1119858 1152795 1207690 1306501 1690766 1811535 1866430 2053073 2305590 2536149 2613002 2799645 3623070 3919503 4106146 4226915 5072298 5599290 6159219 6532505 7839006 8453830 10265365 12318438 12680745 13065010 14371511 19597515 20530730 25361490 28743022 30796095 39195030 43114533 61592190 71857555 86229066 143715110 215572665 431145330