Search a number
-
+
345467461053 = 311132239359663
BaseRepresentation
bin1010000011011110111…
…01110001110110111101
31020000201012222100211010
411001233131301312331
521130004132223203
6422412222345433
733650001653001
oct5015735616675
91200635870733
10345467461053
1112356a4147a0
1256b5442b279
1326767841310
1412a138d6701
158ebe189303
hex506f771dbd

345467461053 has 32 divisors (see below), whose sum is σ = 541395025920. Its totient is φ = 193181653440.

The previous prime is 345467461007. The next prime is 345467461067. The reversal of 345467461053 is 350164764543.

It is not a de Polignac number, because 345467461053 - 210 = 345467460029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345467460993 and 345467461011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345467461153) 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, 780700 + ... + 1140362.

It is an arithmetic number, because the mean of its divisors is an integer number (16918594560).

Almost surely, 2345467461053 is an apocalyptic number.

345467461053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345467461053 is a deficient number, since it is larger than the sum of its proper divisors (195927564867).

345467461053 is a wasteful number, since it uses less digits than its factorization.

345467461053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361929.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 345467461053 in words is "three hundred forty-five billion, four hundred sixty-seven million, four hundred sixty-one thousand, fifty-three".

Divisors: 1 3 11 13 33 39 143 429 2239 6717 24629 29107 73887 87321 320177 359663 960531 1078989 3956293 4675619 11868879 14026857 51431809 154295427 805285457 2415856371 8858140027 10468710941 26574420081 31406132823 115155820351 345467461053