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3414929780 = 2257321792
BaseRepresentation
bin1100101110001011…
…1011000101110100
322210222210101222202
43023202323011310
523443210223110
61322505444032
7150424265333
oct31342730564
98728711882
103414929780
1114a2703319
127b37a0618
13425652512
14245775d1a
1514ec060a5
hexcb8bb174

3414929780 has 54 divisors (see below), whose sum is σ = 7311782646. Its totient is φ = 1339733376.

The previous prime is 3414929759. The next prime is 3414929789. The reversal of 3414929780 is 879294143.

It can be written as a sum of positive squares in 3 ways, for example, as 492662416 + 2922267364 = 22196^2 + 54058^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414929789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19077731 + ... + 19077909.

Almost surely, 23414929780 is an apocalyptic number.

It is an amenable number.

3414929780 is an abundant number, since it is smaller than the sum of its proper divisors (3896852866).

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

3414929780 is an equidigital number, since it uses as much as digits as its factorization.

3414929780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 3414929780 is about 58437.4005239795. The cubic root of 3414929780 is about 1505.8923461592.

The spelling of 3414929780 in words is "three billion, four hundred fourteen million, nine hundred twenty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 179 292 358 365 716 730 895 1460 1790 3580 5329 10658 13067 21316 26134 26645 32041 52268 53290 64082 65335 106580 128164 130670 160205 261340 320410 640820 953891 1907782 2338993 3815564 4677986 4769455 9355972 9538910 11694965 19077820 23389930 46779860 170746489 341492978 682985956 853732445 1707464890 3414929780