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342434048 = 2811277439
BaseRepresentation
bin10100011010010…
…010000100000000
3212212100110012112
4110122102010000
51200130342143
653551314452
711325432665
oct2432220400
9785313175
10342434048
11166327850
129681ba28
1355c374c8
143369ba6c
15200e1e18
hex14692100

342434048 has 72 divisors (see below), whose sum is σ = 750066240. Its totient is φ = 154736640.

The previous prime is 342434003. The next prime is 342434063. The reversal of 342434048 is 840434243.

It is a super-2 number, since 2×3424340482 = 234522154459332608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779813 + ... + 780251.

Almost surely, 2342434048 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 342434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375033120).

342434048 is an abundant number, since it is smaller than the sum of its proper divisors (407632192).

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

342434048 is a wasteful number, since it uses less digits than its factorization.

342434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 342434048 is about 18504.9736017104. The cubic root of 342434048 is about 699.6147866936.

The spelling of 342434048 in words is "three hundred forty-two million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 277 352 439 554 704 878 1108 1408 1756 2216 2816 3047 3512 4432 4829 6094 7024 8864 9658 12188 14048 17728 19316 24376 28096 35456 38632 48752 56192 70912 77264 97504 112384 121603 154528 195008 243206 309056 390016 486412 618112 780032 972824 1236224 1337633 1945648 2675266 3891296 5350532 7782592 10701064 15565184 21402128 31130368 42804256 85608512 171217024 342434048