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1364027644 = 227293783547
BaseRepresentation
bin101000101001101…
…0110100011111100
310112001122210011101
41101103112203330
510243142341034
6343203502444
745542020660
oct12123264374
93461583141
101364027644
1163aa5a181
12320987a24
13189795265
14cd22a8a0
157eb3b514
hex514d68fc

1364027644 has 96 divisors (see below), whose sum is σ = 2938682880. Its totient is φ = 541562112.

The previous prime is 1364027641. The next prime is 1364027659. The reversal of 1364027644 is 4467204631.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364027641) 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, 2493379 + ... + 2493925.

It is an arithmetic number, because the mean of its divisors is an integer number (30611280).

Almost surely, 21364027644 is an apocalyptic number.

1364027644 is a gapful number since it is divisible by the number (14) 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 1364027644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469341440).

1364027644 is an abundant number, since it is smaller than the sum of its proper divisors (1574655236).

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

1364027644 is a wasteful number, since it uses less digits than its factorization.

1364027644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 1364027644 is about 36932.7448749751. The cubic root of 1364027644 is about 1109.0242877258.

The spelling of 1364027644 in words is "one billion, three hundred sixty-four million, twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 37 58 74 83 116 148 166 203 259 332 406 518 547 581 812 1036 1073 1094 1162 2146 2188 2324 2407 3071 3829 4292 4814 6142 7511 7658 9628 12284 15022 15316 15863 16849 20239 21497 30044 31726 33698 40478 42994 45401 63452 67396 80956 85988 89059 90802 111041 141673 178118 181604 222082 283346 317807 356236 444164 566692 586931 623413 635614 1173862 1246826 1271228 1316629 1679837 2347724 2493652 2633258 3359674 4108517 5266516 6719348 8217034 9216403 11758859 16434068 18432806 23517718 36865612 47035436 48715273 97430546 194861092 341006911 682013822 1364027644