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768403434 = 231719537481
BaseRepresentation
bin101101110011001…
…110011111101010
31222112212221100110
4231303032133222
53033202402214
6204125315150
725020215151
oct5563163752
91875787313
10768403434
1136481a967
12195405ab6
13c326c2b6
14740a2598
15476d5159
hex2dcce7ea

768403434 has 64 divisors (see below), whose sum is σ = 1745400960. Its totient is φ = 224040960.

The previous prime is 768403429. The next prime is 768403439. The reversal of 768403434 is 434304867.

It is an interprime number because it is at equal distance from previous prime (768403429) and next prime (768403439).

It is a junction number, because it is equal to n+sod(n) for n = 768403392 and 768403401.

It is not an unprimeable number, because it can be changed into a prime (768403439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98974 + ... + 106454.

It is an arithmetic number, because the mean of its divisors is an integer number (27271890).

Almost surely, 2768403434 is an apocalyptic number.

768403434 is an abundant number, since it is smaller than the sum of its proper divisors (976997526).

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

768403434 is a wasteful number, since it uses less digits than its factorization.

768403434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575.

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 768403434 is about 27720.0908007171. The cubic root of 768403434 is about 915.9317189748.

The spelling of 768403434 in words is "seven hundred sixty-eight million, four hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 19 34 38 51 53 57 102 106 114 159 318 323 646 901 969 1007 1802 1938 2014 2703 3021 5406 6042 7481 14962 17119 22443 34238 44886 51357 102714 127177 142139 254354 284278 381531 396493 426417 763062 792986 852834 1189479 2378958 2416363 4832726 6740381 7249089 7533367 13480762 14498178 15066734 20221143 22600101 40442286 45200202 128067239 256134478 384201717 768403434