Search a number
-
+
345688472 = 231753199241
BaseRepresentation
bin10100100110101…
…100100110011000
3220002110210102202
4110212230212120
51201444012342
654145145332
711365206053
oct2446544630
9802423382
10345688472
1116814a958
129792b248
13568068bc
1433ca7a9a
1520536332
hex149ac998

345688472 has 64 divisors (see below), whose sum is σ = 705672000. Its totient is φ = 158146560.

The previous prime is 345688463. The next prime is 345688487. The reversal of 345688472 is 274886543.

Its product of digits (1290240) is a multiple of the sum of its prime divisors (512).

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 15 ways as a sum of consecutive naturals, for example, 1434272 + ... + 1434512.

It is an arithmetic number, because the mean of its divisors is an integer number (11026125).

Almost surely, 2345688472 is an apocalyptic number.

It is an amenable number.

345688472 is an abundant number, since it is smaller than the sum of its proper divisors (359983528).

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

345688472 is a wasteful number, since it uses less digits than its factorization.

345688472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The square root of 345688472 is about 18592.6994274635. The cubic root of 345688472 is about 701.8241348622.

The spelling of 345688472 in words is "three hundred forty-five million, six hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 17 34 53 68 106 136 199 212 241 398 424 482 796 901 964 1592 1802 1928 3383 3604 4097 6766 7208 8194 10547 12773 13532 16388 21094 25546 27064 32776 42188 47959 51092 84376 95918 102184 179299 191836 217141 358598 383672 434282 717196 815303 868564 1434392 1630606 1737128 2541827 3261212 5083654 6522424 10167308 20334616 43211059 86422118 172844236 345688472