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345843444 = 2231729531103
BaseRepresentation
bin10100100111010…
…010011011110100
3220002202200000110
4110213102123310
51202013442234
654152343020
711366422632
oct2447223364
9802680013
10345843444
11168246331
12979a4a70
135685c2bb
1433d08352
15205671e9
hex149d26f4

345843444 has 96 divisors (see below), whose sum is σ = 901393920. Its totient is φ = 102688768.

The previous prime is 345843431. The next prime is 345843469. The reversal of 345843444 is 444348543.

It is a super-2 number, since 2×3458434442 = 239215375515562272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312997 + ... + 314099.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2345843444 is an apocalyptic number.

345843444 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 345843444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450696960).

345843444 is an abundant number, since it is smaller than the sum of its proper divisors (555550476).

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

345843444 is a wasteful number, since it uses less digits than its factorization.

345843444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

The square root of 345843444 is about 18596.8665102484. The cubic root of 345843444 is about 701.9289950180.

The spelling of 345843444 in words is "three hundred forty-five million, eight hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 53 58 68 87 102 106 116 159 174 204 212 318 348 493 636 901 986 1103 1479 1537 1802 1972 2206 2703 2958 3074 3309 3604 4412 4611 5406 5916 6148 6618 9222 10812 13236 18444 18751 26129 31987 37502 52258 56253 58459 63974 75004 78387 95961 104516 112506 116918 127948 156774 175377 191922 225012 233836 313548 350754 383844 543779 701508 993803 1087558 1631337 1695311 1987606 2175116 2981409 3262674 3390622 3975212 5085933 5962818 6525348 6781244 10171866 11925636 20343732 28820287 57640574 86460861 115281148 172921722 345843444