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344350000 = 24557197
BaseRepresentation
bin10100100001100…
…101110100110000
3212222221210101201
4110201211310300
51201123200000
654100340544
711350632601
oct2441456460
9788853351
10344350000
11167416285
12973a4754
13564585c7
1433a39da8
152036e96a
hex14865d30

344350000 has 120 divisors (see below), whose sum is σ = 854382816. Its totient is φ = 134400000.

The previous prime is 344349991. The next prime is 344350003. The reversal of 344350000 is 53443.

It is a self number, because there is not a number n which added to its sum of digits gives 344350000.

It is not an unprimeable number, because it can be changed into a prime (344350003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3549952 + ... + 3550048.

Almost surely, 2344350000 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 344350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427191408).

344350000 is an abundant number, since it is smaller than the sum of its proper divisors (510032816).

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

344350000 is an frugal number, since it uses more digits than its factorization.

344350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 344350000 is about 18556.6699598823. The cubic root of 344350000 is about 700.9171651194.

The spelling of 344350000 in words is "three hundred forty-four million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 97 100 125 142 194 200 250 284 355 388 400 485 500 568 625 710 776 970 1000 1136 1250 1420 1552 1775 1940 2000 2425 2500 2840 3125 3550 3880 4850 5000 5680 6250 6887 7100 7760 8875 9700 10000 12125 12500 13774 14200 17750 19400 24250 25000 27548 28400 34435 35500 38800 44375 48500 50000 55096 60625 68870 71000 88750 97000 110192 121250 137740 142000 172175 177500 194000 221875 242500 275480 303125 344350 355000 443750 485000 550960 606250 688700 710000 860875 887500 970000 1212500 1377400 1721750 1775000 2425000 2754800 3443500 3550000 4304375 4850000 6887000 8608750 13774000 17217500 21521875 34435000 43043750 68870000 86087500 172175000 344350000