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431242344 = 233213538693
BaseRepresentation
bin11001101101000…
…011110001101000
31010001110101021200
4121231003301220
51340344223334
6110443004200
713454333211
oct3155036150
91101411250
10431242344
11201474835
12100509660
136b45cbb0
14413b8408
1527cd5799
hex19b43c68

431242344 has 96 divisors (see below), whose sum is σ = 1281669480. Its totient is φ = 130171392.

The previous prime is 431242321. The next prime is 431242391. The reversal of 431242344 is 443242134.

It is a happy number.

431242344 is a `hidden beast` number, since 4 + 312 + 4 + 2 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229886244 + 201356100 = 15162^2 + 14190^2 .

It is a super-2 number, since 2×4312423442 = 371939918517228672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45262 + ... + 53954.

Almost surely, 2431242344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640834740).

431242344 is an abundant number, since it is smaller than the sum of its proper divisors (850427136).

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

431242344 is a wasteful number, since it uses less digits than its factorization.

431242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8764 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 431242344 is about 20766.3753216588. The cubic root of 431242344 is about 755.5104330159.

Adding to 431242344 its reverse (443242134), we get a palindrome (874484478).

It can be divided in two parts, 4312 and 42344, that added together give a 6-th power (46656 = 66).

The spelling of 431242344 in words is "four hundred thirty-one million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5512 6201 8268 8693 12402 16536 17386 24804 26079 34772 49608 52158 69544 78237 104316 113009 156474 208632 226018 312948 339027 452036 460729 625896 678054 904072 921458 1017081 1356108 1382187 1842916 2034162 2712216 2764374 3685832 4068324 4146561 5528748 5989477 8136648 8293122 11057496 11978954 16586244 17968431 23957908 33172488 35936862 47915816 53905293 71873724 107810586 143747448 215621172 431242344