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345286704 = 24371795741
BaseRepresentation
bin10100100101001…
…010100000110000
3220001201101022110
4110211022200300
51201343133304
654132405320
711361613530
oct2445124060
9801641273
10345286704
111679a6014
1297776840
13566c5a79
1433c014c0
15204a7289
hex1494a830

345286704 has 80 divisors (see below), whose sum is σ = 1025291520. Its totient is φ = 98085120.

The previous prime is 345286693. The next prime is 345286709. The reversal of 345286704 is 407682543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345286709) 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, 57274 + ... + 63014.

It is an arithmetic number, because the mean of its divisors is an integer number (12816144).

Almost surely, 2345286704 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 345286704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512645760).

345286704 is an abundant number, since it is smaller than the sum of its proper divisors (680004816).

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

345286704 is a wasteful number, since it uses less digits than its factorization.

345286704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 345286704 is about 18581.8918304892. The cubic root of 345286704 is about 701.5521367963.

The spelling of 345286704 in words is "three hundred forty-five million, two hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 5741 7518 8592 10024 11482 15036 17223 20048 22964 30072 34446 40187 45928 60144 68892 80374 91856 120561 137784 160748 241122 275568 321496 482244 642992 964488 1027639 1928976 2055278 3082917 4110556 6165834 7193473 8221112 12331668 14386946 16442224 21580419 24663336 28773892 43160838 49326672 57547784 86321676 115095568 172643352 345286704