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1345447400 = 2352112531049
BaseRepresentation
bin101000000110001…
…1110010111101000
310110202200210212012
41100030132113220
510223413304100
6341301335052
745225054113
oct12014362750
93422623765
101345447400
11630519600
12316707488
1318598b12b
14ca99157a
157d1bb135
hex5031e5e8

1345447400 has 144 divisors (see below), whose sum is σ = 3506611500. Its totient is φ = 479564800.

The previous prime is 1345447381. The next prime is 1345447403. The reversal of 1345447400 is 47445431.

It can be written as a sum of positive squares in 6 ways, for example, as 947285284 + 398162116 = 30778^2 + 19954^2 .

It is not an unprimeable number, because it can be changed into a prime (1345447403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1282076 + ... + 1283124.

Almost surely, 21345447400 is an apocalyptic number.

1345447400 is a gapful number since it is divisible by the number (10) 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 1345447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753305750).

1345447400 is an abundant number, since it is smaller than the sum of its proper divisors (2161164100).

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

1345447400 is a wasteful number, since it uses less digits than its factorization.

1345447400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 1345447400 is about 36680.3407835860. The cubic root of 1345447400 is about 1103.9656858515.

The spelling of 1345447400 in words is "one billion, three hundred forty-five million, four hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 121 200 212 220 242 265 275 424 440 484 530 550 583 605 968 1049 1060 1100 1166 1210 1325 2098 2120 2200 2332 2420 2650 2915 3025 4196 4664 4840 5245 5300 5830 6050 6413 8392 10490 10600 11539 11660 12100 12826 14575 20980 23078 23320 24200 25652 26225 29150 32065 41960 46156 51304 52450 55597 57695 58300 64130 92312 104900 111194 115390 116600 126929 128260 160325 209800 222388 230780 253858 256520 277985 288475 320650 444776 461560 507716 555970 576950 611567 634645 641300 1015432 1111940 1153900 1223134 1269290 1282600 1389925 2223880 2307800 2446268 2538580 2779850 3057835 3173225 4892536 5077160 5559700 6115670 6346450 6727237 11119400 12231340 12692900 13454474 15289175 24462680 25385800 26908948 30578350 33636185 53817896 61156700 67272370 122313400 134544740 168180925 269089480 336361850 672723700 1345447400