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1340312120 = 235723732851
BaseRepresentation
bin100111111100011…
…1000101000111000
310110102000220120122
41033320320220320
510221104441440
6340555312412
745133315340
oct11770705070
93412026518
101340312120
11628631374
12314a4b708
131848b08c4
14ca015d20
157ca047b5
hex4fe38a38

1340312120 has 128 divisors (see below), whose sum is σ = 3646909440. Its totient is φ = 433382400.

The previous prime is 1340312119. The next prime is 1340312123. The reversal of 1340312120 is 212130431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340312123) 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, 468695 + ... + 471545.

It is an arithmetic number, because the mean of its divisors is an integer number (28491480).

Almost surely, 21340312120 is an apocalyptic number.

1340312120 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 1340312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823454720).

1340312120 is an abundant number, since it is smaller than the sum of its proper divisors (2306597320).

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

1340312120 is a wasteful number, since it uses less digits than its factorization.

1340312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1340312120 is about 36610.2734215411. The cubic root of 1340312120 is about 1102.5593628428.

Adding to 1340312120 its reverse (212130431), we get a palindrome (1552442551).

The spelling of 1340312120 in words is "one billion, three hundred forty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 73 92 115 140 146 161 184 230 280 292 322 365 460 511 584 644 730 805 920 1022 1288 1460 1610 1679 2044 2555 2851 2920 3220 3358 4088 5110 5702 6440 6716 8395 10220 11404 11753 13432 14255 16790 19957 20440 22808 23506 28510 33580 39914 47012 57020 58765 65573 67160 79828 94024 99785 114040 117530 131146 159656 199570 208123 235060 262292 327865 399140 416246 459011 470120 524584 655730 798280 832492 918022 1040615 1311460 1456861 1664984 1836044 2081230 2295055 2622920 2913722 3672088 4162460 4590110 4786829 5827444 7284305 8324920 9180220 9573658 11654888 14568610 18360440 19147316 23934145 29137220 33507803 38294632 47868290 58274440 67015606 95736580 134031212 167539015 191473160 268062424 335078030 670156060 1340312120