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3408152055 = 3571128110501
BaseRepresentation
bin1100101100100100…
…0100010111110111
322210112001001200220
43023021010113313
523434441331210
61322104305423
7150312546240
oct31311042767
98715031626
103408152055
1114998a40a0
127b1472273
1342411b529
142448cdcc7
1514e317c70
hexcb2445f7

3408152055 has 64 divisors (see below), whose sum is σ = 6823443456. Its totient is φ = 1411200000.

The previous prime is 3408152023. The next prime is 3408152057. The reversal of 3408152055 is 5502518043.

It is not a de Polignac number, because 3408152055 - 25 = 3408152023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408152057) 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 63 ways as a sum of consecutive naturals, for example, 319305 + ... + 329805.

It is an arithmetic number, because the mean of its divisors is an integer number (106616304).

Almost surely, 23408152055 is an apocalyptic number.

3408152055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3408152055 is an abundant number, since it is smaller than the sum of its proper divisors (3415291401).

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

3408152055 is a wasteful number, since it uses less digits than its factorization.

3408152055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808.

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 3408152055 is about 58379.3803923954. The cubic root of 3408152055 is about 1504.8954214077.

The spelling of 3408152055 in words is "three billion, four hundred eight million, one hundred fifty-two thousand, fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 281 385 843 1155 1405 1967 3091 4215 5901 9273 9835 10501 15455 21637 29505 31503 46365 52505 64911 73507 108185 115511 157515 220521 324555 346533 367535 577555 808577 1102605 1732665 2425731 2950781 4042885 8852343 12128655 14753905 20655467 32458591 44261715 61966401 97375773 103277335 162292955 227210137 309832005 486878865 681630411 1136050685 3408152055