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345464740644 = 223174161677111
BaseRepresentation
bin1010000011011110100…
…11011001101100100100
31020000201000212011010020
411001233103121230210
521130002433200034
6422412044155140
733646636562532
oct5015723315444
91200630764106
10345464740644
11123568926921
1256b53538ab0
13267670cacca
1412a133c9152
158ebdced249
hex506f4d9b24

345464740644 has 96 divisors (see below), whose sum is σ = 888652622592. Its totient is φ = 104004096000.

The previous prime is 345464740639. The next prime is 345464740697. The reversal of 345464740644 is 446047464543.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171649 + ... + 848759.

It is an arithmetic number, because the mean of its divisors is an integer number (9256798152).

Almost surely, 2345464740644 is an apocalyptic number.

345464740644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345464740644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444326311296).

345464740644 is an abundant number, since it is smaller than the sum of its proper divisors (543187881948).

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

345464740644 is a wasteful number, since it uses less digits than its factorization.

345464740644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677237 (or 677235 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 51.

The spelling of 345464740644 in words is "three hundred forty-five billion, four hundred sixty-four million, seven hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 61 68 82 102 122 123 164 183 204 244 246 366 492 697 732 1037 1394 2074 2091 2501 2788 3111 4148 4182 5002 6222 7503 8364 10004 12444 15006 30012 42517 85034 127551 170068 255102 510204 677111 1354222 2031333 2708444 4062666 8125332 11510887 23021774 27761551 34532661 41303771 46043548 55523102 69065322 82607542 83284653 111046204 123911313 138130644 165215084 166569306 247822626 333138612 471946367 495645252 702164107 943892734 1404328214 1415839101 1693454611 1887785468 2106492321 2808656428 2831678202 3386909222 4212984642 5080363833 5663356404 6773818444 8425969284 10160727666 20321455332 28788728387 57577456774 86366185161 115154913548 172732370322 345464740644