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2347468452 = 223572911897
BaseRepresentation
bin1000101111101011…
…1000011010100100
320001121011202100000
42023322320122210
514301422442302
61024534221300
7112113103230
oct21372703244
96047152300
102347468452
11aa50a287a
125561b4830
132b54551b4
14183aa75c0
15db14b31c
hex8beb86a4

2347468452 has 144 divisors (see below), whose sum is σ = 7275864960. Its totient is φ = 647523072.

The previous prime is 2347468451. The next prime is 2347468463. The reversal of 2347468452 is 2548647432.

It is a happy number.

2347468452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2347468398 and 2347468407.

It is not an unprimeable number, because it can be changed into a prime (2347468451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191368 + ... + 203264.

It is an arithmetic number, because the mean of its divisors is an integer number (50526840).

Almost surely, 22347468452 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 2347468452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637932480).

2347468452 is an abundant number, since it is smaller than the sum of its proper divisors (4928396508).

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

2347468452 is a wasteful number, since it uses less digits than its factorization.

2347468452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11952 (or 11938 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2347468452 is about 48450.6806144145. The cubic root of 2347468452 is about 1329.0253193919.

The spelling of 2347468452 in words is "two billion, three hundred forty-seven million, four hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 972 1044 1134 1218 1566 1701 1827 2268 2349 2436 3132 3402 3654 4698 5481 6804 7047 7308 9396 10962 11897 14094 16443 21924 23794 28188 32886 35691 47588 49329 65772 71382 83279 98658 107073 142764 166558 197316 214146 249837 321219 333116 345013 428292 499674 642438 690026 749511 963657 999348 1035039 1284876 1380052 1499022 1927314 2070078 2248533 2415091 2890971 2998044 3105117 3854628 4140156 4497066 4830182 5781942 6210234 6745599 7245273 8994132 9315351 9660364 11563884 12420468 13491198 14490546 18630702 20236797 21735819 26982396 27946053 28981092 37261404 40473594 43471638 55892106 65207457 80947188 83838159 86943276 111784212 130414914 167676318 195622371 260829828 335352636 391244742 586867113 782489484 1173734226 2347468452