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342025432 = 237109137409
BaseRepresentation
bin10100011000101…
…110010011011000
3212211120200200121
4110120232103120
51200024303212
653534443024
711322111460
oct2430562330
9784520617
10342025432
11166078851
1296663474
1355b23518
14335d2ba0
1520060d07
hex1462e4d8

342025432 has 64 divisors (see below), whose sum is σ = 746856000. Its totient is φ = 143824896.

The previous prime is 342025423. The next prime is 342025459. The reversal of 342025432 is 234520243.

It is a super-2 number, since 2×3420254322 = 233962792269573248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342025397 and 342025406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 836044 + ... + 836452.

It is an arithmetic number, because the mean of its divisors is an integer number (11669625).

Almost surely, 2342025432 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 342025432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373428000).

342025432 is an abundant number, since it is smaller than the sum of its proper divisors (404830568).

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

342025432 is a wasteful number, since it uses less digits than its factorization.

342025432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 342025432 is about 18493.9295986548. The cubic root of 342025432 is about 699.3363996768.

Adding to 342025432 its reverse (234520243), we get a palindrome (576545675).

The spelling of 342025432 in words is "three hundred forty-two million, twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 109 137 218 274 409 436 548 763 818 872 959 1096 1526 1636 1918 2863 3052 3272 3836 5726 6104 7672 11452 14933 22904 29866 44581 56033 59732 89162 104531 112066 119464 178324 209062 224132 312067 356648 392231 418124 448264 624134 784462 836248 1248268 1568924 2496536 3137848 6107597 12215194 24430388 42753179 48860776 85506358 171012716 342025432