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2734533840 = 2435372931051
BaseRepresentation
bin1010001011111101…
…1010110011010000
321001120111201020010
42202333122303100
521100020040330
61131202314520
7124523103603
oct24277326320
97046451203
102734533840
111183633825
12643958a40
133476b827c
141bd26233a
151101073b0
hexa2fdacd0

2734533840 has 160 divisors (see below), whose sum is σ = 8744190336. Its totient is φ = 706406400.

The previous prime is 2734533833. The next prime is 2734533863. The reversal of 2734533840 is 483354372.

2734533840 = 3562 + 3572 + ... + 20202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601315 + ... + 2602365.

Almost surely, 22734533840 is an apocalyptic number.

2734533840 is a gapful number since it is divisible by the number (20) 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 2734533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372095168).

2734533840 is an abundant number, since it is smaller than the sum of its proper divisors (6009656496).

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

2734533840 is a wasteful number, since it uses less digits than its factorization.

2734533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2734533840 is about 52292.7704372220. The cubic root of 2734533840 is about 1398.3882540377.

The spelling of 2734533840 in words is "two billion, seven hundred thirty-four million, five hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 293 296 370 444 555 586 592 740 879 888 1051 1110 1172 1465 1480 1758 1776 2102 2220 2344 2930 2960 3153 3516 4204 4395 4440 4688 5255 5860 6306 7032 8408 8790 8880 10510 10841 11720 12612 14064 15765 16816 17580 21020 21682 23440 25224 31530 32523 35160 38887 42040 43364 50448 54205 63060 65046 70320 77774 84080 86728 108410 116661 126120 130092 155548 162615 173456 194435 216820 233322 252240 260184 307943 311096 325230 388870 433640 466644 520368 583305 615886 622192 650460 777740 867280 923829 933288 1166610 1231772 1300920 1539715 1555480 1847658 1866576 2333220 2463544 2601840 3079430 3110960 3695316 4619145 4666440 4927088 6158860 7390632 9238290 9332880 11393891 12317720 14781264 18476580 22787782 24635440 34181673 36953160 45575564 56969455 68363346 73906320 91151128 113938910 136726692 170908365 182302256 227877820 273453384 341816730 455755640 546906768 683633460 911511280 1367266920 2734533840