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3402053305 = 57315367883
BaseRepresentation
bin1100101011000111…
…0011011010111001
322210002120012210021
43022301303122321
523431411201210
61321325450441
7150206655520
oct31261633271
98702505707
103402053305
111496409002
127ab410a21
13422a945c1
14243b834b7
1514da10bda
hexcac736b9

3402053305 has 64 divisors (see below), whose sum is σ = 4985929728. Its totient is φ = 2179457280.

The previous prime is 3402053297. The next prime is 3402053309. The reversal of 3402053305 is 5033502043.

It is a happy number.

It is not a de Polignac number, because 3402053305 - 23 = 3402053297 is a prime.

It is a super-2 number, since 2×34020533052 = 23147933380122846050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3402053305.

It is not an unprimeable number, because it can be changed into a prime (3402053309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852394 + ... + 3853276.

It is an arithmetic number, because the mean of its divisors is an integer number (77905152).

Almost surely, 23402053305 is an apocalyptic number.

3402053305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3402053305 is a deficient number, since it is larger than the sum of its proper divisors (1583876423).

3402053305 is a wasteful number, since it uses less digits than its factorization.

3402053305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046.

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 3402053305 is about 58327.1232361069. The cubic root of 3402053305 is about 1503.9972356467.

Adding to 3402053305 its reverse (5033502043), we get a palindrome (8435555348).

The spelling of 3402053305 in words is "three billion, four hundred two million, fifty-three thousand, three hundred five".

Divisors: 1 5 7 31 35 53 67 155 217 265 335 371 469 883 1085 1643 1855 2077 2345 3551 4415 6181 8215 10385 11501 14539 17755 24857 27373 30905 46799 57505 59161 72695 110081 124285 136865 191611 233995 295805 327593 414127 550405 770567 958055 1450769 1637965 1833991 2070635 3135533 3852835 7253845 9169955 10155383 12837937 15677665 21948731 50776915 64189685 97201523 109743655 486007615 680410661 3402053305