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345378516 = 22372924889
BaseRepresentation
bin10100100101100…
…000111011010100
3220001220001020220
4110211200323110
51201404103031
654134354340
711362445310
oct2445407324
9801801226
10345378516
11167a58a9a
12977bb9b0
13567287b2
1433c26b40
15204c4596
hex14960ed4

345378516 has 72 divisors (see below), whose sum is σ = 954058560. Its totient is φ = 95257344.

The previous prime is 345378479. The next prime is 345378529. The reversal of 345378516 is 615873543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68200 + ... + 73088.

Almost surely, 2345378516 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 345378516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477029280).

345378516 is an abundant number, since it is smaller than the sum of its proper divisors (608680044).

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

345378516 is a wasteful number, since it uses less digits than its factorization.

345378516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4930 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 345378516 is about 18584.3621359464. The cubic root of 345378516 is about 701.6143123699.

The spelling of 345378516 in words is "three hundred forty-five million, three hundred seventy-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 841 1218 1682 2436 2523 3364 4889 5046 5887 9778 10092 11774 14667 17661 19556 23548 29334 34223 35322 58668 68446 70644 102669 136892 141781 205338 283562 410676 425343 567124 850686 992467 1701372 1984934 2977401 3969868 4111649 5954802 8223298 11909604 12334947 16446596 24669894 28781543 49339788 57563086 86344629 115126172 172689258 345378516