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2734033720 = 23511389577
BaseRepresentation
bin1010001011110110…
…0000101100111000
321001112120022012011
42202331200230320
521044403034340
61131143455304
7124515621535
oct24275405470
97045508164
102734033720
111183322000
12643757534
13347571742
141bd171d8c
151100590ea
hexa2f60b38

2734033720 has 128 divisors (see below), whose sum is σ = 6854155200. Its totient is φ = 981319680.

The previous prime is 2734033703. The next prime is 2734033727. The reversal of 2734033720 is 273304372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734033727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4738072 + ... + 4738648.

Almost surely, 22734033720 is an apocalyptic number.

2734033720 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 2734033720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427077600).

2734033720 is an abundant number, since it is smaller than the sum of its proper divisors (4120121480).

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

2734033720 is a wasteful number, since it uses less digits than its factorization.

2734033720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 31.

The square root of 2734033720 is about 52287.9882955923. The cubic root of 2734033720 is about 1398.3029982422.

The spelling of 2734033720 in words is "two billion, seven hundred thirty-four million, thirty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 121 178 220 242 356 440 445 484 577 605 712 890 968 979 1154 1210 1331 1780 1958 2308 2420 2662 2885 3560 3916 4616 4840 4895 5324 5770 6347 6655 7832 9790 10648 10769 11540 12694 13310 19580 21538 23080 25388 26620 31735 39160 43076 50776 51353 53240 53845 63470 69817 86152 102706 107690 118459 126940 139634 205412 215380 236918 253880 256765 279268 349085 410824 430760 473836 513530 558536 564883 592295 698170 767987 947672 1027060 1129766 1184590 1396340 1535974 2054120 2259532 2369180 2792680 2824415 3071948 3839935 4519064 4738360 5648830 6143896 6213713 7679870 11297660 12427426 15359740 22595320 24854852 30719480 31068565 49709704 62137130 68350843 124274260 136701686 248548520 273403372 341754215 546806744 683508430 1367016860 2734033720