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342412385 = 571723131191
BaseRepresentation
bin10100011010001…
…100110001100001
3212212022100111012
4110122030301201
51200124144020
653551030305
711325312560
oct2432146141
9785270435
10342412385
11166312547
129680b395
1355c2a6a3
1433693bd7
15200da7c5
hex1468cc61

342412385 has 64 divisors (see below), whose sum is σ = 525533184. Its totient is φ = 208665600.

The previous prime is 342412381. The next prime is 342412387. The reversal of 342412385 is 583214243.

It is not a de Polignac number, because 342412385 - 22 = 342412381 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342412381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1792640 + ... + 1792830.

It is an arithmetic number, because the mean of its divisors is an integer number (8211456).

Almost surely, 2342412385 is an apocalyptic number.

342412385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342412385 is a deficient number, since it is larger than the sum of its proper divisors (183120799).

342412385 is a wasteful number, since it uses less digits than its factorization.

342412385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374.

The product of its digits is 23040, while the sum is 32.

The square root of 342412385 is about 18504.3882633282. The cubic root of 342412385 is about 699.6000334150.

The spelling of 342412385 in words is "three hundred forty-two million, four hundred twelve thousand, three hundred eighty-five".

Divisors: 1 5 7 17 23 35 85 115 119 131 161 191 391 595 655 805 917 955 1337 1955 2227 2737 3013 3247 4393 4585 6685 11135 13685 15065 15589 16235 21091 21965 22729 25021 30751 51221 74681 77945 105455 113645 125105 153755 175147 256105 358547 373405 425357 522767 575483 875735 1792735 2126785 2613835 2877415 2977499 4028381 9783211 14887495 20141905 48916055 68482477 342412385