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344504025342 = 2336739679803
BaseRepresentation
bin1010000001101100000…
…10100100000011111110
31012221020002002202111000
411000312002210003332
521121021012302332
6422132444511130
733614062620351
oct5006602440376
91187202082430
10344504025342
111231155a5234
125692584b4a6
1326643066c09
1412961986298
158e647cbb7c
hex50360a40fe

344504025342 has 64 divisors (see below), whose sum is σ = 767573199360. Its totient is φ = 114533782272.

The previous prime is 344504025337. The next prime is 344504025347. The reversal of 344504025342 is 243520405443.

344504025342 is a `hidden beast` number, since 34 + 4 + 50 + 40 + 2 + 534 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (344504025337) and next prime (344504025347).

It is a junction number, because it is equal to n+sod(n) for n = 344504025297 and 344504025306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344504025347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35137813 + ... + 35147615.

It is an arithmetic number, because the mean of its divisors is an integer number (11993331240).

Almost surely, 2344504025342 is an apocalyptic number.

344504025342 is an abundant number, since it is smaller than the sum of its proper divisors (423069174018).

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

344504025342 is a wasteful number, since it uses less digits than its factorization.

344504025342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11448 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 344504025342 in words is "three hundred forty-four billion, five hundred four million, twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 673 967 1346 1934 2019 2901 4038 5802 6057 8703 9803 12114 17406 18171 19606 26109 29409 36342 52218 58818 88227 176454 264681 529362 650791 1301582 1952373 3904746 5857119 6597419 9479501 11714238 13194838 17571357 18959002 19792257 28438503 35142714 39584514 56877006 59376771 85315509 118753542 170631018 178130313 255946527 356260626 511893054 6379704173 12759408346 19139112519 38278225038 57417337557 114834675114 172252012671 344504025342