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345498352224 = 25323772320261
BaseRepresentation
bin1010000011100010100…
…11100111101001100000
31020000210101002210112120
411001301103213221200
521130040034232344
6422415244424240
733650525352504
oct5016123475140
91200711083476
10345498352224
111235858a3793
1256b62848080
1326771068b0c
1412a17a58304
158ec1c3c219
hex50714e7a60

345498352224 has 96 divisors (see below), whose sum is σ = 946534305024. Its totient is φ = 110139194880.

The previous prime is 345498352223. The next prime is 345498352231. The reversal of 345498352224 is 422253894543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3454983522242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345498352223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17042254 + ... + 17062514.

It is an arithmetic number, because the mean of its divisors is an integer number (9859732344).

Almost surely, 2345498352224 is an apocalyptic number.

It is an amenable number.

345498352224 is an abundant number, since it is smaller than the sum of its proper divisors (601035952800).

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

345498352224 is a wasteful number, since it uses less digits than its factorization.

345498352224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28020 (or 28012 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 345498352224 in words is "three hundred forty-five billion, four hundred ninety-eight million, three hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 7723 15446 20261 23169 30892 40522 46338 60783 61784 81044 92676 121566 123568 162088 177629 185352 243132 247136 324176 355258 370704 466003 486264 532887 648352 710516 741408 932006 972528 1065774 1398009 1421032 1864012 1945056 2131548 2796018 2842064 3728024 4263096 5592036 5684128 7456048 8526192 11184072 14912096 17052384 22368144 44736288 156475703 312951406 469427109 625902812 938854218 1251805624 1877708436 2503611248 3598941169 3755416872 5007222496 7197882338 7510833744 10796823507 14395764676 15021667488 21593647014 28791529352 43187294028 57583058704 86374588056 115166117408 172749176112 345498352224