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344144376 = 2335211839
BaseRepresentation
bin10100100000110…
…011100111111000
3212222120100100000
4110200303213320
51201100110001
654052113000
711346115242
oct2440634770
9788510300
10344144376
11167295844
1297305760
13563b5b34
14339c5092
152032da86
hex148339f8

344144376 has 96 divisors (see below), whose sum is σ = 972316800. Its totient is φ = 114035040.

The previous prime is 344144369. The next prime is 344144389. The reversal of 344144376 is 673441443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 344144376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409765 + ... + 410603.

It is an arithmetic number, because the mean of its divisors is an integer number (10128300).

Almost surely, 2344144376 is an apocalyptic number.

344144376 is a gapful number since it is divisible by the number (36) 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 344144376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486158400).

344144376 is an abundant number, since it is smaller than the sum of its proper divisors (628172424).

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

344144376 is a wasteful number, since it uses less digits than its factorization.

344144376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 344144376 is about 18551.1286988151. The cubic root of 344144376 is about 700.7776229016. Note that the first 3 decimals are identical.

The spelling of 344144376 in words is "three hundred forty-four million, one hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 211 216 243 324 422 486 633 648 839 844 972 1266 1678 1688 1899 1944 2517 2532 3356 3798 5034 5064 5697 6712 7551 7596 10068 11394 15102 15192 17091 20136 22653 22788 30204 34182 45306 45576 51273 60408 67959 68364 90612 102546 135918 136728 177029 181224 203877 205092 271836 354058 407754 410184 531087 543672 708116 815508 1062174 1416232 1593261 1631016 2124348 3186522 4248696 4779783 6373044 9559566 12746088 14339349 19119132 28678698 38238264 43018047 57357396 86036094 114714792 172072188 344144376