Search a number
-
+
3407243753792 = 26313075594009
BaseRepresentation
bin110001100101001111100…
…011011011100101000000
3110001201200200020110120102
4301211033203123211000
5421311013400110132
611125133254301532
7501110451022604
oct61451743334500
913051620213512
103407243753792
1110a40052aa55a
1247041b0578a8
131b93bcb0a798
14baca9147504
155d96c054c62
hex3194f8db940

3407243753792 has 56 divisors (see below), whose sum is σ = 7002089445120. Its totient is φ = 1643295790080.

The previous prime is 3407243753789. The next prime is 3407243753807. The reversal of 3407243753792 is 2973573427043.

It is a happy number.

It is a super-2 number, since 2×34072437537922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187917 + ... + 3406092.

It is an arithmetic number, because the mean of its divisors is an integer number (125037311520).

Almost surely, 23407243753792 is an apocalyptic number.

3407243753792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3407243753792 is an abundant number, since it is smaller than the sum of its proper divisors (3594845691328).

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

3407243753792 is a wasteful number, since it uses less digits than its factorization.

3407243753792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594359 (or 5594349 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 56.

The spelling of 3407243753792 in words is "three trillion, four hundred seven billion, two hundred forty-three million, seven hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 307 496 614 992 1228 1984 2456 4912 9517 9824 19034 19648 38068 76136 152272 304544 609088 5594009 11188018 22376036 44752072 89504144 173414279 179008288 346828558 358016576 693657116 1387314232 1717360763 2774628464 3434721526 5549256928 6869443052 11098513856 13738886104 27477772208 53238183653 54955544416 106476367306 109911088832 212952734612 425905469224 851810938448 1703621876896 3407243753792