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1342733100 = 22352172311447
BaseRepresentation
bin101000000001000…
…0111101100101100
310110120120220112120
41100002013230230
510222214424400
6341123232540
745163020522
oct12002075454
93416526476
101342733100
11629a35285
12315818750
1318524a837
14ca486312
157cd31ca0
hex50087b2c

1342733100 has 144 divisors (see below), whose sum is σ = 4292725248. Its totient is φ = 322319360.

The previous prime is 1342733069. The next prime is 1342733113. The reversal of 1342733100 is 13372431.

It is a super-2 number, since 2×13427331002 = 3605864355671220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111577 + ... + 123023.

It is an arithmetic number, because the mean of its divisors is an integer number (29810592).

Almost surely, 21342733100 is an apocalyptic number.

1342733100 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 1342733100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146362624).

1342733100 is an abundant number, since it is smaller than the sum of its proper divisors (2949992148).

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

1342733100 is a wasteful number, since it uses less digits than its factorization.

1342733100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1342733100 is about 36643.3227205176. The cubic root of 1342733100 is about 1103.2228074700. Note that the first 3 decimals are identical.

The spelling of 1342733100 in words is "one billion, three hundred forty-two million, seven hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1955 2300 2346 2550 3450 3910 4692 5100 5865 6900 7820 9775 11447 11730 19550 22894 23460 29325 34341 39100 45788 57235 58650 68682 114470 117300 137364 171705 194599 228940 263281 286175 343410 389198 526562 572350 583797 686820 778396 789843 858525 972995 1053124 1144700 1167594 1316405 1579686 1717050 1945990 2335188 2632810 2918985 3159372 3434100 3891980 3949215 4475777 4864975 5265620 5837970 6582025 7898430 8951554 9729950 11675940 13164050 13427331 14594925 15796860 17903108 19459900 19746075 22378885 26328100 26854662 29189850 39492150 44757770 53709324 58379700 67136655 78984300 89515540 111894425 134273310 223788850 268546620 335683275 447577700 671366550 1342733100