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345678684 = 223132237411
BaseRepresentation
bin10100100110101…
…010001101011100
3220002110022000020
4110212222031130
51201443204214
654145032140
711365135401
oct2446521534
9802408006
10345678684
1116814356a
1297925650
1356802300
1433ca42a8
15205334a9
hex149aa35c

345678684 has 72 divisors (see below), whose sum is σ = 911498112. Its totient is φ = 101724480.

The previous prime is 345678653. The next prime is 345678689. The reversal of 345678684 is 486876543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345678689) 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, 42939 + ... + 50349.

It is an arithmetic number, because the mean of its divisors is an integer number (12659696).

Almost surely, 2345678684 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 345678684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455749056).

345678684 is an abundant number, since it is smaller than the sum of its proper divisors (565819428).

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

345678684 is a wasteful number, since it uses less digits than its factorization.

345678684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7452 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 345678684 is about 18592.4362040051. The cubic root of 345678684 is about 701.8175108640.

The spelling of 345678684 in words is "three hundred forty-five million, six hundred seventy-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1794 2028 3588 3887 7411 7774 11661 14822 15548 22233 23322 29644 44466 46644 88932 96343 170453 192686 289029 340906 385372 511359 578058 681812 1022718 1156116 1252459 2045436 2215889 2504918 3757377 4431778 5009836 6647667 7514754 8863556 13295334 15029508 26590668 28806557 57613114 86419671 115226228 172839342 345678684