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341074621440 = 21032572151057
BaseRepresentation
bin1001111011010011010…
…00011011010000000000
31012121101002001222201200
410331221220123100000
521042010100341230
6420404300501200
733433101306300
oct4755150332000
91177332058650
10341074621440
11121715806333
125612924a800
1326217717537
1412718323600
158d136b7160
hex4f69a1b400

341074621440 has 396 divisors, whose sum is σ = 1374773117796. Its totient is φ = 77959397376.

The previous prime is 341074621421. The next prime is 341074621541. The reversal of 341074621440 is 44126470143.

It can be written as a sum of positive squares in 2 ways, for example, as 150866989056 + 190207632384 = 388416^2 + 436128^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 341074621395 and 341074621404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2182392 + ... + 2333448.

Almost surely, 2341074621440 is an apocalyptic number.

341074621440 is a gapful number since it is divisible by the number (30) 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 341074621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687386558898).

341074621440 is an abundant number, since it is smaller than the sum of its proper divisors (1033698496356).

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

341074621440 is a wasteful number, since it uses less digits than its factorization.

341074621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151102 (or 151074 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 341074621440 in words is "three hundred forty-one billion, seventy-four million, six hundred twenty-one thousand, four hundred forty".