Search a number
-
+
342464364 = 2232112292711
BaseRepresentation
bin10100011010011…
…001011101101100
3212212101222210100
4110122121131230
51200132324424
653552111100
711325620244
oct2432313554
9785358710
10342464364
11166348600
1296835490
1355c48248
14336a8b24
15200eadc9
hex1469976c

342464364 has 108 divisors (see below), whose sum is σ = 984700080. Its totient is φ = 100161600.

The previous prime is 342464359. The next prime is 342464383. The reversal of 342464364 is 463464243.

342464364 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 643 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 35 ways as a sum of consecutive naturals, for example, 124969 + ... + 127679.

Almost surely, 2342464364 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 342464364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492350040).

342464364 is an abundant number, since it is smaller than the sum of its proper divisors (642235716).

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

342464364 is a wasteful number, since it uses less digits than its factorization.

342464364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2756 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 342464364 is about 18505.7927147150. The cubic root of 342464364 is about 699.6354319304.

The spelling of 342464364 in words is "three hundred forty-two million, four hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 638 726 957 1044 1089 1276 1452 1914 2178 2711 2871 3509 3828 4356 5422 5742 7018 8133 10527 10844 11484 14036 16266 21054 24399 29821 31581 32532 42108 48798 59642 63162 78619 89463 97596 119284 126324 157238 178926 235857 268389 314476 328031 357852 471714 536778 656062 707571 864809 943428 984093 1073556 1312124 1415142 1729618 1968186 2594427 2830284 2952279 3459236 3936372 5188854 5904558 7783281 9512899 10377708 11809116 15566562 19025798 28538697 31133124 38051596 57077394 85616091 114154788 171232182 342464364