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342516276 = 2236235107
BaseRepresentation
bin10100011010100…
…110001000110100
3212212111122000000
4110122212020310
51200141010101
653553151300
711326224504
oct2432461064
9785448000
10342516276
11166383603
129685b530
1355c65a6b
14336bda04
152010b486
hex146a6234

342516276 has 84 divisors (see below), whose sum is σ = 937951392. Its totient is φ = 109186704.

The previous prime is 342516269. The next prime is 342516277. The reversal of 342516276 is 672615243.

342516276 is a `hidden beast` number, since 3 + 4 + 25 + 1 + 627 + 6 = 666.

342516276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342516276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342516277) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64515 + ... + 69621.

It is an arithmetic number, because the mean of its divisors is an integer number (11166088).

Almost surely, 2342516276 is an apocalyptic number.

342516276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342516276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468975696).

342516276 is an abundant number, since it is smaller than the sum of its proper divisors (595435116).

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

342516276 is a wasteful number, since it uses less digits than its factorization.

342516276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5135 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 342516276 is about 18507.1952494158. The cubic root of 342516276 is about 699.6707812430.

It can be divided in two parts, 3425 and 16276, that added together give a triangular number (19701 = T198).

The spelling of 342516276 in words is "three hundred forty-two million, five hundred sixteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5107 5589 7452 10214 11178 15321 16767 20428 22356 30642 33534 45963 61284 67068 91926 117461 137889 183852 234922 275778 352383 413667 469844 551556 704766 827334 1057149 1241001 1409532 1654668 2114298 2482002 3171447 3723003 4228596 4964004 6342894 7446006 9514341 12685788 14892012 19028682 28543023 38057364 57086046 85629069 114172092 171258138 342516276