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3438342723492 = 2233372393600193
BaseRepresentation
bin110010000010001101001…
…100100101011110100100
3110011200222000102210222000
4302002031030211132210
5422313211214122432
611151315225205300
7503261223634005
oct62021514453644
913150860383860
103438342723492
111106213914806
1247645a030830
131bc307a825c1
14bc5b95031ac
155e68c3ae57c
hex3208d3257a4

3438342723492 has 96 divisors (see below), whose sum is σ = 9193455398400. Its totient is φ = 1110472022016.

The previous prime is 3438342723479. The next prime is 3438342723499. The reversal of 3438342723492 is 2943272438343.

3438342723492 is a `hidden beast` number, since 3 + 4 + 3 + 83 + 4 + 2 + 72 + 3 + 492 = 666.

It is a super-3 number, since 3×34383427234923 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3438342723499) 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, 845053 + ... + 2755140.

It is an arithmetic number, because the mean of its divisors is an integer number (95765160400).

Almost surely, 23438342723492 is an apocalyptic number.

It is an amenable number.

3438342723492 is an abundant number, since it is smaller than the sum of its proper divisors (5755112674908).

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

3438342723492 is a wasteful number, since it uses less digits than its factorization.

3438342723492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600482 (or 3600474 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 3438342723492 in words is "three trillion, four hundred thirty-eight billion, three hundred forty-two million, seven hundred twenty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 239 333 444 478 666 717 956 999 1332 1434 1998 2151 2868 3996 4302 6453 8604 8843 12906 17686 25812 26529 35372 53058 79587 106116 159174 238761 318348 477522 955044 3600193 7200386 10800579 14400772 21601158 32401737 43202316 64803474 97205211 129606948 133207141 194410422 266414282 388820844 399621423 532828564 799242846 860446127 1198864269 1598485692 1720892254 2397728538 2581338381 3441784508 3596592807 4795457076 5162676762 7193185614 7744015143 10325353524 14386371228 15488030286 23232045429 30976060572 31836506699 46464090858 63673013398 92928181716 95509520097 127346026796 191019040194 286528560291 382038080388 573057120582 859585680873 1146114241164 1719171361746 3438342723492