Search a number
-
+
342209672 = 23779103751
BaseRepresentation
bin10100011001011…
…011010010001000
3212211221001102022
4110121123102020
51200101202142
653542424012
711323506560
oct2431332210
9784831368
10342209672
11166194212
1296732008
1355b8933c
143363dda0
152009a6d2
hex1465b488

342209672 has 64 divisors (see below), whose sum is σ = 750796800. Its totient is φ = 143208000.

The previous prime is 342209671. The next prime is 342209689. The reversal of 342209672 is 276902243.

It is a happy number.

It is a super-2 number, since 2×3422096722 = 234214919220695168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342209671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455297 + ... + 456047.

It is an arithmetic number, because the mean of its divisors is an integer number (11731200).

Almost surely, 2342209672 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 342209672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375398400).

342209672 is an abundant number, since it is smaller than the sum of its proper divisors (408587128).

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

342209672 is a wasteful number, since it uses less digits than its factorization.

342209672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 342209672 is about 18498.9100219445. The cubic root of 342209672 is about 699.4619484400.

The spelling of 342209672 in words is "three hundred forty-two million, two hundred nine thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 79 103 158 206 316 412 553 632 721 751 824 1106 1442 1502 2212 2884 3004 4424 5257 5768 6008 8137 10514 16274 21028 32548 42056 56959 59329 65096 77353 113918 118658 154706 227836 237316 309412 415303 455672 474632 541471 618824 830606 1082942 1661212 2165884 3322424 4331768 6110887 12221774 24443548 42776209 48887096 85552418 171104836 342209672