Search a number
-
+
345890881672 = 2378089763583
BaseRepresentation
bin1010000100010001011…
…01000000000010001000
31020001210201201100201021
411002020231000002020
521131341031203142
6422522230002224
733663332661310
oct5021055000210
91201721640637
10345890881672
11123767426996
12570521a6374
1326804492c6b
1412a53c36440
158ee6427267
hex5088b40088

345890881672 has 32 divisors (see below), whose sum is σ = 741287347200. Its totient is φ = 148220429184.

The previous prime is 345890881663. The next prime is 345890881673. The reversal of 345890881672 is 276188098543.

It is a self number, because there is not a number n which added to its sum of digits gives 345890881672.

It is not an unprimeable number, because it can be changed into a prime (345890881673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71193 + ... + 834775.

It is an arithmetic number, because the mean of its divisors is an integer number (23165229600).

It is a 1-persistent number, because it is pandigital, but 2⋅345890881672 = 691781763344 is not.

Almost surely, 2345890881672 is an apocalyptic number.

It is an amenable number.

345890881672 is an abundant number, since it is smaller than the sum of its proper divisors (395396465528).

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

345890881672 is a wasteful number, since it uses less digits than its factorization.

345890881672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771685 (or 771681 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 345890881672 in words is "three hundred forty-five billion, eight hundred ninety million, eight hundred eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 8089 16178 32356 56623 64712 113246 226492 452984 763583 1527166 3054332 5345081 6108664 10690162 21380324 42760648 6176622887 12353245774 24706491548 43236360209 49412983096 86472720418 172945440836 345890881672