Search a number
-
+
346740468 = 2233783972
BaseRepresentation
bin10100101010101…
…101011011110100
3220011110020111120
4110222231123310
51202231143333
654223503540
711410150104
oct2452553364
9804406446
10346740468
111687a9278
1298157bb0
1356ab4699
143409d204
1520692db3
hex14aad6f4

346740468 has 72 divisors (see below), whose sum is σ = 849697632. Its totient is φ = 109956096.

The previous prime is 346740467. The next prime is 346740491. The reversal of 346740468 is 864047643.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346740467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3574596 + ... + 3574692.

It is an arithmetic number, because the mean of its divisors is an integer number (11801356).

Almost surely, 2346740468 is an apocalyptic number.

It is an amenable number.

346740468 is an abundant number, since it is smaller than the sum of its proper divisors (502957164).

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

346740468 is a wasteful number, since it uses less digits than its factorization.

346740468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 346740468 is about 18620.9685032761. The cubic root of 346740468 is about 702.5353421681.

The spelling of 346740468 in words is "three hundred forty-six million, seven hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 37 74 83 97 111 148 166 194 222 249 291 332 388 444 498 582 996 1164 3071 3589 6142 7178 8051 9213 9409 10767 12284 14356 16102 18426 18818 21534 24153 28227 32204 36852 37636 43068 48306 56454 96612 112908 297887 348133 595774 696266 780947 893661 1044399 1191548 1392532 1561894 1787322 2088798 2342841 3123788 3574644 4177596 4685682 9371364 28895039 57790078 86685117 115580156 173370234 346740468