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1434262680 = 233355325057
BaseRepresentation
bin101010101111101…
…0001110010011000
310200221211002112000
41111133101302120
510414132401210
6354153121000
750354013564
oct12537216230
93627732460
101434262680
11676670864
123403b9160
1319b1b6a56
14d86b06a4
1585db1ac0
hex557d1c98

1434262680 has 128 divisors (see below), whose sum is σ = 4871275200. Its totient is φ = 375238656.

The previous prime is 1434262673. The next prime is 1434262691. The reversal of 1434262680 is 862624341.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44712 + ... + 69768.

Almost surely, 21434262680 is an apocalyptic number.

1434262680 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 1434262680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435637600).

1434262680 is an abundant number, since it is smaller than the sum of its proper divisors (3437012520).

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

1434262680 is a wasteful number, since it uses less digits than its factorization.

1434262680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25130 (or 25120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1434262680 is about 37871.6606448674. The cubic root of 1434262680 is about 1127.7415093523.

The spelling of 1434262680 in words is "one billion, four hundred thirty-four million, two hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 25057 28620 50114 57240 75171 100228 125285 150342 200456 225513 250570 300684 375855 451026 501140 601368 676539 751710 902052 1002280 1127565 1328021 1353078 1503420 1804104 2255130 2656042 2706156 3006840 3382695 3984063 4510260 5312084 5412312 6640105 6765390 7968126 9020520 10624168 11952189 13280210 13530780 15936252 19920315 23904378 26560420 27061560 31872504 35856567 39840630 47808756 53120840 59760945 71713134 79681260 95617512 119521890 143426268 159362520 179282835 239043780 286852536 358565670 478087560 717131340 1434262680