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342216882 = 232721033767
BaseRepresentation
bin10100011001011…
…101000010110010
3212211221102022100
4110121131002302
51200101420012
653542521230
711323536600
oct2431350262
9784842270
10342216882
11166199677
1296736216
1355b8c6c7
1433642870
152009c8dc
hex1465d0b2

342216882 has 72 divisors (see below), whose sum is σ = 871131456. Its totient is φ = 96801264.

The previous prime is 342216877. The next prime is 342216883. The reversal of 342216882 is 288612243.

It is a super-2 number, since 2×3422168822 = 234224788651603848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342216883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88963 + ... + 92729.

It is an arithmetic number, because the mean of its divisors is an integer number (12099048).

Almost surely, 2342216882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342216882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435565728).

342216882 is an abundant number, since it is smaller than the sum of its proper divisors (528914574).

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

342216882 is a wasteful number, since it uses less digits than its factorization.

342216882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3882 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 342216882 is about 18499.1048972646. The cubic root of 342216882 is about 699.4668607162.

The spelling of 342216882 in words is "three hundred forty-two million, two hundred sixteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 294 309 441 618 721 882 927 1442 1854 2163 3767 4326 5047 6489 7534 10094 11301 12978 15141 22602 26369 30282 33903 45423 52738 67806 79107 90846 158214 184583 237321 369166 388001 474642 553749 776002 1107498 1164003 1661247 2328006 2716007 3322494 3492009 5432014 6984018 8148021 16296042 19012049 24444063 38024098 48888126 57036147 114072294 171108441 342216882