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342033032 = 231137731439
BaseRepresentation
bin10100011000110…
…000001010001000
3212211121002010002
4110120300022020
51200030024112
653534542132
711322142565
oct2430601210
9784532102
10342033032
11166083530
1296667948
1355b26b13
14335d586c
15200631c2
hex14630288

342033032 has 64 divisors (see below), whose sum is σ = 728870400. Its totient is φ = 149091840.

The previous prime is 342033019. The next prime is 342033037. The reversal of 342033032 is 230330243.

342033032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3420330322 = 233973189958226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342032995 and 342033013.

It is not an unprimeable number, because it can be changed into a prime (342033037) 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, 236969 + ... + 238407.

It is an arithmetic number, because the mean of its divisors is an integer number (11388600).

Almost surely, 2342033032 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 342033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364435200).

342033032 is an abundant number, since it is smaller than the sum of its proper divisors (386837368).

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

342033032 is a wasteful number, since it uses less digits than its factorization.

342033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 342033032 is about 18494.1350703405. The cubic root of 342033032 is about 699.3415795229.

Adding to 342033032 its reverse (230330243), we get a palindrome (572363275).

The spelling of 342033032 in words is "three hundred forty-two million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 37 44 73 74 88 146 148 292 296 407 584 803 814 1439 1606 1628 2701 2878 3212 3256 5402 5756 6424 10804 11512 15829 21608 29711 31658 53243 59422 63316 105047 106486 118844 126632 210094 212972 237688 420188 425944 585673 840376 1155517 1171346 2311034 2342692 3886739 4622068 4685384 7773478 9244136 15546956 31093912 42754129 85508258 171016516 342033032