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346473940 = 225171099349
BaseRepresentation
bin10100101001101…
…100010111010100
3220010221200220011
4110221230113110
51202144131230
654214050004
711404660051
oct2451542724
9803850804
10346473940
11168636aaa
1298049904
1356a20287
1434030028
152063de2a
hex14a6c5d4

346473940 has 48 divisors (see below), whose sum is σ = 777546000. Its totient is φ = 129226752.

The previous prime is 346473931. The next prime is 346473973. The reversal of 346473940 is 49374643.

It can be written as a sum of positive squares in 8 ways, for example, as 48497296 + 297976644 = 6964^2 + 17262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346473893 and 346473902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32386 + ... + 41734.

It is an arithmetic number, because the mean of its divisors is an integer number (16198875).

Almost surely, 2346473940 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 346473940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388773000).

346473940 is an abundant number, since it is smaller than the sum of its proper divisors (431072060).

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

346473940 is a wasteful number, since it uses less digits than its factorization.

346473940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 346473940 is about 18613.8104642762. The cubic root of 346473940 is about 702.3552907522.

The spelling of 346473940 in words is "three hundred forty-six million, four hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 9349 18530 18698 37060 37396 46745 93490 158933 186980 317866 635732 794665 1019041 1589330 2038082 3178660 4076164 5095205 10190410 17323697 20380820 34647394 69294788 86618485 173236970 346473940