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3406056312 = 233375965011
BaseRepresentation
bin1100101100000100…
…0100101101111000
322210101002120212210
43023001010231320
523433422300222
61321551335120
7150256000221
oct31301045570
98711076783
103406056312
1114986a257a
127b08214a0
13423866649
14244506248
1514e051d0c
hexcb044b78

3406056312 has 64 divisors (see below), whose sum is σ = 8893641600. Its totient is φ = 1085927040.

The previous prime is 3406056271. The next prime is 3406056383. The reversal of 3406056312 is 2136506043.

It is a self number, because there is not a number n which added to its sum of digits gives 3406056312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19887 + ... + 84897.

It is an arithmetic number, because the mean of its divisors is an integer number (138963150).

Almost surely, 23406056312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406056312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446820800).

3406056312 is an abundant number, since it is smaller than the sum of its proper divisors (5487585288).

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

3406056312 is a wasteful number, since it uses less digits than its factorization.

3406056312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65116 (or 65112 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3406056312 is about 58361.4282895818. The cubic root of 3406056312 is about 1504.5868944136.

The spelling of 3406056312 in words is "three billion, four hundred six million, fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 111 118 148 177 222 236 296 354 444 472 708 888 1416 2183 4366 6549 8732 13098 17464 26196 52392 65011 130022 195033 260044 390066 520088 780132 1560264 2405407 3835649 4810814 7216221 7671298 9621628 11506947 14432442 15342596 19243256 23013894 28864884 30685192 46027788 57729768 92055576 141919013 283838026 425757039 567676052 851514078 1135352104 1703028156 3406056312