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345311400 = 23352782217
BaseRepresentation
bin10100100101010…
…000100010101000
3220001202122012010
4110211100202220
51201344431100
654133115520
711362045530
oct2445204250
9801678163
10345311400
11167a12625
1297788ba0
1356704095
1433c0a4c0
15204ae750
hex149508a8

345311400 has 96 divisors (see below), whose sum is σ = 1223403840. Its totient is φ = 78927360.

The previous prime is 345311399. The next prime is 345311437. The reversal of 345311400 is 4113543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36909 + ... + 45308.

It is an arithmetic number, because the mean of its divisors is an integer number (12743790).

Almost surely, 2345311400 is an apocalyptic number.

345311400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345311400 is an abundant number, since it is smaller than the sum of its proper divisors (878092440).

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

345311400 is a wasteful number, since it uses less digits than its factorization.

345311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82243 (or 82234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 345311400 is about 18582.5563365216. The cubic root of 345311400 is about 701.5688621421.

Adding to 345311400 its reverse (4113543), we get a palindrome (349424943).

The spelling of 345311400 in words is "three hundred forty-five million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 82217 164434 246651 328868 411085 493302 575519 657736 822170 986604 1151038 1233255 1644340 1726557 1973208 2055425 2302076 2466510 2877595 3288680 3453114 4110850 4604152 4933020 5755190 6166275 6906228 8221700 8632785 9866040 11510380 12332550 13812456 14387975 16443400 17265570 23020760 24665100 28775950 34531140 43163925 49330200 57551900 69062280 86327850 115103800 172655700 345311400