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345340452501 = 321110197135569
BaseRepresentation
bin1010000011001111110…
…01010001111010010101
31020000101100222122211200
411001213321101322111
521124224123440001
6422351444223113
733643600261452
oct5014771217225
91200340878750
10345340452501
11123504756350
1256b1999aa99
1326747432325
1412a00ab4829
158eb2e4c086
hex5067e51e95

345340452501 has 48 divisors (see below), whose sum is σ = 550142124480. Its totient is φ = 207005760000.

The previous prime is 345340452461. The next prime is 345340452503. The reversal of 345340452501 is 105254043543.

345340452501 is a `hidden beast` number, since 34 + 534 + 0 + 45 + 2 + 50 + 1 = 666.

It is not a de Polignac number, because 345340452501 - 215 = 345340419733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345340452503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9691245 + ... + 9726813.

It is an arithmetic number, because the mean of its divisors is an integer number (11461294260).

Almost surely, 2345340452501 is an apocalyptic number.

It is an amenable number.

345340452501 is a deficient number, since it is larger than the sum of its proper divisors (204801671979).

345340452501 is a wasteful number, since it uses less digits than its factorization.

345340452501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36658 (or 36655 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 345340452501 in words is "three hundred forty-five billion, three hundred forty million, four hundred fifty-two thousand, five hundred one".

Divisors: 1 3 9 11 33 99 101 303 909 971 1111 2913 3333 8739 9999 10681 32043 35569 96129 98071 106707 294213 320121 391259 882639 1078781 1173777 3236343 3521331 3592469 9709029 10777407 32332221 34537499 39517159 103612497 118551477 310837491 355654431 379912489 1139737467 3419212401 3488287399 10464862197 31394586591 38371161389 115113484167 345340452501