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3414256320 = 26353556517
BaseRepresentation
bin1100101110000001…
…0110101011000000
322210221112012011210
43023200112223000
523443022200240
61322443210120
7150415462026
oct31340265300
98727465153
103414256320
1114a2293342
127b3516940
13425477b17
1424563c716
1514eb21780
hexcb816ac0

3414256320 has 56 divisors (see below), whose sum is σ = 10840266864. Its totient is φ = 910468096.

The previous prime is 3414256253. The next prime is 3414256337. The reversal of 3414256320 is 236524143.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 1777299 + ... + 1779218.

It is an arithmetic number, because the mean of its divisors is an integer number (193576194).

Almost surely, 23414256320 is an apocalyptic number.

3414256320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414256320 is an abundant number, since it is smaller than the sum of its proper divisors (7426010544).

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

3414256320 is a wasteful number, since it uses less digits than its factorization.

3414256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556537 (or 3556527 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3414256320 is about 58431.6380054504. The cubic root of 3414256320 is about 1505.7933470582.

The spelling of 3414256320 in words is "three billion, four hundred fourteen million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3556517 7113034 10669551 14226068 17782585 21339102 28452136 35565170 42678204 53347755 56904272 71130340 85356408 106695510 113808544 142260680 170712816 213391020 227617088 284521360 341425632 426782040 569042720 682851264 853564080 1138085440 1707128160 3414256320