Search a number
-
+
354613672 = 23753163733
BaseRepresentation
bin10101001000101…
…111100110101000
3220201021020111201
4111020233212220
51211240114142
655104333544
711534111050
oct2510574650
9821236451
10354613672
11172196556
129a9142b4
135861019a
143514c560
15211eaab7
hex1522f9a8

354613672 has 64 divisors (see below), whose sum is σ = 780036480. Its totient is φ = 147992832.

The previous prime is 354613669. The next prime is 354613673. The reversal of 354613672 is 276316453.

354613672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (354613673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483418 + ... + 484150.

It is an arithmetic number, because the mean of its divisors is an integer number (12188070).

Almost surely, 2354613672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390018240).

354613672 is an abundant number, since it is smaller than the sum of its proper divisors (425422808).

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

354613672 is a wasteful number, since it uses less digits than its factorization.

354613672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 354613672 is about 18831.1888100566. The cubic root of 354613672 is about 707.8129300307.

The spelling of 354613672 in words is "three hundred fifty-four million, six hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 163 212 326 371 424 652 733 742 1141 1304 1466 1484 2282 2932 2968 4564 5131 5864 8639 9128 10262 17278 20524 34556 38849 41048 60473 69112 77698 119479 120946 155396 238958 241892 271943 310792 477916 483784 543886 836353 955832 1087772 1672706 2175544 3345412 6332387 6690824 12664774 25329548 44326709 50659096 88653418 177306836 354613672