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34462743381 = 331121923101239
BaseRepresentation
bin100000000110001000…
…111011101101010101
310021221202201202102000
4200012020323231111
51031034430242011
623455412105513
72330006325333
oct400610735525
9107852652360
1034462743381
1113685358200
126819605299
133332b25961
14194d016b53
15d6a808356
hex80623bb55

34462743381 has 192 divisors, whose sum is σ = 62512128000. Its totient is φ = 18661104000.

The previous prime is 34462743377. The next prime is 34462743391. The reversal of 34462743381 is 18334726443.

34462743381 is a `hidden beast` number, since 3 + 4 + 46 + 274 + 338 + 1 = 666.

It is not a de Polignac number, because 34462743381 - 22 = 34462743377 is a prime.

It is a super-2 number, since 2×344627433812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34462743391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144195460 + ... + 144195698.

It is an arithmetic number, because the mean of its divisors is an integer number (325584000).

Almost surely, 234462743381 is an apocalyptic number.

It is an amenable number.

34462743381 is a deficient number, since it is larger than the sum of its proper divisors (28049384619).

34462743381 is a wasteful number, since it uses less digits than its factorization.

34462743381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 34462743381 in words is "thirty-four billion, four hundred sixty-two million, seven hundred forty-three thousand, three hundred eighty-one".