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350778064 = 247213127271
BaseRepresentation
bin10100111010000…
…111001011010000
3220110001101001011
4110322013023100
51204244344224
654450220304
711456364400
oct2472071320
9813041034
10350778064
1117000682a
1299584694
13578993b0
1434830800
1520bde394
hex14e872d0

350778064 has 120 divisors (see below), whose sum is σ = 861278208. Its totient is φ = 137168640.

The previous prime is 350778053. The next prime is 350778073. The reversal of 350778064 is 460877053.

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, 1294249 + ... + 1294519.

Almost surely, 2350778064 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 350778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430639104).

350778064 is an abundant number, since it is smaller than the sum of its proper divisors (510500144).

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

350778064 is a wasteful number, since it uses less digits than its factorization.

350778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 350778064 is about 18729.0700249639. The cubic root of 350778064 is about 705.2517009484.

The spelling of 350778064 in words is "three hundred fifty million, seven hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 127 182 196 208 254 271 364 392 508 542 637 728 784 889 1016 1084 1274 1456 1651 1778 1897 2032 2168 2548 3302 3523 3556 3794 4336 5096 6223 6604 7046 7112 7588 10192 11557 12446 13208 13279 14092 14224 15176 23114 24661 24892 26416 26558 28184 30352 34417 46228 49322 49784 53116 56368 68834 80899 92456 98644 99568 106232 137668 161798 172627 184912 197288 212464 240919 275336 323596 345254 394576 447421 481838 550672 647192 690508 894842 963676 1294384 1381016 1686433 1789684 1927352 2762032 3131947 3372866 3579368 3854704 6263894 6745732 7158736 12527788 13491464 21923629 25055576 26982928 43847258 50111152 87694516 175389032 350778064