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34973488144 = 247266792
BaseRepresentation
bin100000100100100101…
…010001010000010000
310100021100210021111201
4200210211101100100
51033111203110034
624022215120544
72345450513200
oct404445212020
9110240707451
1034973488144
1113917693311
126940673154
1333b48a05aa
14199aba8400
15d9a595014
hex824951410

34973488144 has 45 divisors (see below), whose sum is σ = 78835979007. Its totient is φ = 14986393632.

The previous prime is 34973488139. The next prime is 34973488163. The reversal of 34973488144 is 44188437943.

The square root of 34973488144 is 187012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5232997 + ... + 5239675.

Almost surely, 234973488144 is an apocalyptic number.

34973488144 is the 187012-nd square number.

It is an amenable number.

34973488144 is an abundant number, since it is smaller than the sum of its proper divisors (43862490863).

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

34973488144 is an frugal number, since it uses more digits than its factorization.

34973488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13380 (or 6688 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 34973488144 in words is "thirty-four billion, nine hundred seventy-three million, four hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 6679 13358 26716 46753 53432 93506 106864 187012 327271 374024 654542 748048 1309084 2618168 5236336 44609041 89218082 178436164 312263287 356872328 624526574 713744656 1249053148 2185843009 2498106296 4371686018 4996212592 8743372036 17486744072 34973488144