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344378556016 = 24114167712303
BaseRepresentation
bin1010000001011101000…
…11111011111001110000
31012220220100000020220221
411000232203323321300
521120241402243031
6422112203342424
733611010266515
oct5005643737160
91186810006827
10344378556016
11123060798280
12568ab821a14
1326623076701
141294d04530c
158e58795a11
hex502e8fbe70

344378556016 has 80 divisors (see below), whose sum is σ = 756774563328. Its totient is φ = 150438182400.

The previous prime is 344378555957. The next prime is 344378556019. The reversal of 344378556016 is 610655873443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344378556019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127321 + ... + 839623.

Almost surely, 2344378556016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344378556016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378387281664).

344378556016 is an abundant number, since it is smaller than the sum of its proper divisors (412396007312).

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

344378556016 is a wasteful number, since it uses less digits than its factorization.

344378556016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712430 (or 712424 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 344378556016 in words is "three hundred forty-four billion, three hundred seventy-eight million, five hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 41 44 67 82 88 134 164 176 268 328 451 536 656 737 902 1072 1474 1804 2747 2948 3608 5494 5896 7216 10988 11792 21976 30217 43952 60434 120868 241736 483472 712303 1424606 2849212 5698424 7835333 11396848 15670666 29204423 31341332 47724301 58408846 62682664 95448602 116817692 125365328 190897204 233635384 321248653 381794408 467270768 524967311 642497306 763588816 1049934622 1284994612 1956696341 2099869244 2569989224 3913392682 4199738488 5139978448 7826785364 8399476976 15653570728 21523659751 31307141456 43047319502 86094639004 172189278008 344378556016