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1304137400 = 2352107149409
BaseRepresentation
bin100110110111011…
…1000111010111000
310100212222001012012
41031232320322320
510132324344100
6333224105052
744213661566
oct11556707270
93325861165
101304137400
1160a173805
12304905188
1317a256247
14c52baa36
157975b135
hex4dbb8eb8

1304137400 has 96 divisors (see below), whose sum is σ = 3088530000. Its totient is φ = 512056320.

The previous prime is 1304137397. The next prime is 1304137423. The reversal of 1304137400 is 47314031.

It is a congruent number.

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, 3188396 + ... + 3188804.

Almost surely, 21304137400 is an apocalyptic number.

1304137400 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 1304137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544265000).

1304137400 is an abundant number, since it is smaller than the sum of its proper divisors (1784392600).

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

1304137400 is a wasteful number, since it uses less digits than its factorization.

1304137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1304137400 is about 36112.8425909676. The cubic root of 1304137400 is about 1092.5494848481.

The spelling of 1304137400 in words is "one billion, three hundred four million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 149 200 214 298 409 428 535 596 745 818 856 1070 1192 1490 1636 2045 2140 2675 2980 3272 3725 4090 4280 5350 5960 7450 8180 10225 10700 14900 15943 16360 20450 21400 29800 31886 40900 43763 60941 63772 79715 81800 87526 121882 127544 159430 175052 218815 243764 304705 318860 350104 398575 437630 487528 609410 637720 797150 875260 1094075 1218820 1523525 1594300 1750520 2188150 2437640 3047050 3188600 4376300 6094100 6520687 8752600 12188200 13041374 26082748 32603435 52165496 65206870 130413740 163017175 260827480 326034350 652068700 1304137400