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1345749228 = 223423419431
BaseRepresentation
bin101000000110110…
…1000000011101100
310110210021010220000
41100031220003230
510224002433403
6341312024300
745230452065
oct12015500354
93423233800
101345749228
1163070534a
12316832090
13185a65625
14caa2d56c
157d22a7a3
hex503680ec

1345749228 has 120 divisors (see below), whose sum is σ = 3688312320. Its totient is φ = 427062240.

The previous prime is 1345749221. The next prime is 1345749239. The reversal of 1345749228 is 8229475431.

1345749228 is a `hidden beast` number, since 134 + 5 + 7 + 492 + 28 = 666.

It is a super-2 number, since 2×13457492282 = 3622081969325191968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345749221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3122173 + ... + 3122603.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 21345749228 is an apocalyptic number.

1345749228 is a gapful number since it is divisible by the number (18) 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 1345749228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844156160).

1345749228 is an abundant number, since it is smaller than the sum of its proper divisors (2342563092).

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

1345749228 is a wasteful number, since it uses less digits than its factorization.

1345749228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1345749228 is about 36684.4548548837. The cubic root of 1345749228 is about 1104.0482315885.

The spelling of 1345749228 in words is "one billion, three hundred forty-five million, seven hundred forty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 419 431 621 828 838 862 1242 1257 1293 1676 1724 1863 2484 2514 2586 3726 3771 3879 5028 5172 7452 7542 7758 9637 9913 11313 11637 15084 15516 19274 19826 22626 23274 28911 29739 33939 34911 38548 39652 45252 46548 57822 59478 67878 69822 86733 89217 115644 118956 135756 139644 173466 178434 180589 260199 267651 346932 356868 361178 520398 535302 541767 722356 780597 802953 1040796 1070604 1083534 1561194 1605906 1625301 2167068 3122388 3211812 3250602 4153547 4875903 6501204 8307094 9751806 12460641 14627709 16614188 19503612 24921282 29255418 37381923 49842564 58510836 74763846 112145769 149527692 224291538 336437307 448583076 672874614 1345749228