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3411697320 = 233451052993
BaseRepresentation
bin1100101101011010…
…0101111010101000
322210202201011220000
43023112211322220
523441343303240
61322312303000
7150354643263
oct31326457250
98722634800
103411697320
1114a08a5769
127b26a1a60
13424a90115
14245173cda
1514e7b8430
hexcb5a5ea8

3411697320 has 80 divisors (see below), whose sum is σ = 11467104660. Its totient is φ = 909785088.

The previous prime is 3411697307. The next prime is 3411697327. The reversal of 3411697320 is 237961143.

It can be written as a sum of positive squares in 2 ways, for example, as 3399123204 + 12574116 = 58302^2 + 3546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3411697327) 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 19 ways as a sum of consecutive naturals, for example, 523257 + ... + 529736.

Almost surely, 23411697320 is an apocalyptic number.

3411697320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3411697320 is an abundant number, since it is smaller than the sum of its proper divisors (8055407340).

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

3411697320 is a wasteful number, since it uses less digits than its factorization.

3411697320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053016 (or 1053003 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3411697320 is about 58409.7365171253. The cubic root of 3411697320 is about 1505.4170534714.

The spelling of 3411697320 in words is "three billion, four hundred eleven million, six hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1052993 2105986 3158979 4211972 5264965 6317958 8423944 9476937 10529930 12635916 15794895 18953874 21059860 25271832 28430811 31589790 37907748 42119720 47384685 56861622 63179580 75815496 85292433 94769370 113723244 126359160 142154055 170584866 189538740 227446488 284308110 341169732 379077480 426462165 568616220 682339464 852924330 1137232440 1705848660 3411697320