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1344661410 = 235175349747
BaseRepresentation
bin101000000100101…
…1110011110100010
310110201012212200110
41100021132132202
510223213131120
6341232432150
745215301441
oct12011363642
93421185613
101344661410
11630032024
123163a8656
13185774451
14ca828d58
157d0b32e0
hex5025e7a2

1344661410 has 64 divisors (see below), whose sum is σ = 3481564032. Its totient is φ = 331109376.

The previous prime is 1344661361. The next prime is 1344661453. The reversal of 1344661410 is 141664431.

It is a super-2 number, since 2×13446614102 = 3616228615086376200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157 + ... + 51903.

It is an arithmetic number, because the mean of its divisors is an integer number (54399438).

Almost surely, 21344661410 is an apocalyptic number.

1344661410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344661410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740782016).

1344661410 is an abundant number, since it is smaller than the sum of its proper divisors (2136902622).

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

1344661410 is a wasteful number, since it uses less digits than its factorization.

1344661410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49827.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1344661410 is about 36669.6251685233. The cubic root of 1344661410 is about 1103.7506706302.

The spelling of 1344661410 in words is "one billion, three hundred forty-four million, six hundred sixty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 795 901 1590 1802 2703 4505 5406 9010 13515 27030 49747 99494 149241 248735 298482 497470 746205 845699 1492410 1691398 2537097 2636591 4228495 5074194 5273182 7909773 8456990 12685485 13182955 15819546 25370970 26365910 39548865 44822047 79097730 89644094 134466141 224110235 268932282 448220470 672330705 1344661410