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1340100336 = 243233753619
BaseRepresentation
bin100111111100000…
…0100111011110000
310110101122011001210
41033320010323300
510221031202321
6340551000120
745131444031
oct11770047360
93411564053
101340100336
116284a7243
12314969040
131848383a3
14c9d9ca88
157c9b1b76
hex4fe04ef0

1340100336 has 160 divisors (see below), whose sum is σ = 3786186240. Its totient is φ = 407227392.

The previous prime is 1340100287. The next prime is 1340100337. The reversal of 1340100336 is 6330010431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340100337) 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, 2164635 + ... + 2165253.

It is an arithmetic number, because the mean of its divisors is an integer number (23663664).

Almost surely, 21340100336 is an apocalyptic number.

1340100336 is a gapful number since it is divisible by the number (16) 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 1340100336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

1340100336 is an abundant number, since it is smaller than the sum of its proper divisors (2446085904).

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

1340100336 is a wasteful number, since it uses less digits than its factorization.

1340100336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1340100336 is about 36607.3808951146. The cubic root of 1340100336 is about 1102.5012876307.

Adding to 1340100336 its reverse (6330010431), we get a palindrome (7670110767).

The spelling of 1340100336 in words is "one billion, three hundred forty million, one hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 53 69 74 92 106 111 138 148 159 184 212 222 276 296 318 368 424 444 552 592 619 636 848 851 888 1104 1219 1238 1272 1702 1776 1857 1961 2438 2476 2544 2553 3404 3657 3714 3922 4876 4952 5106 5883 6808 7314 7428 7844 9752 9904 10212 11766 13616 14237 14628 14856 15688 19504 20424 22903 23532 28474 29256 29712 31376 32807 40848 42711 45103 45806 47064 56948 58512 65614 68709 85422 90206 91612 94128 98421 113896 131228 135309 137418 170844 180412 183224 196842 227792 262456 270618 274836 341688 360824 366448 393684 524912 526769 541236 549672 683376 721648 754561 787368 1053538 1082472 1099344 1213859 1509122 1574736 1580307 2107076 2164944 2263683 2427718 3018244 3160614 3641577 4214152 4527366 4855436 6036488 6321228 7283154 8428304 9054732 9710872 12072976 12642456 14566308 18109464 19421744 25284912 27918757 29132616 36218928 55837514 58265232 83756271 111675028 167512542 223350056 335025084 446700112 670050168 1340100336