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341220992 = 2772291663
BaseRepresentation
bin10100010101101…
…001111010000000
3212210001211012112
4110111221322000
51144323032432
653505314452
711312221250
oct2425517200
9783054175
10341220992
11165679422
1296335a28
1355901318
1433463960
151ee527b2
hex14569e80

341220992 has 64 divisors (see below), whose sum is σ = 780748800. Its totient is φ = 145511424.

The previous prime is 341220977. The next prime is 341221003. The reversal of 341220992 is 299022143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204353 + ... + 206015.

It is an arithmetic number, because the mean of its divisors is an integer number (12199200).

Almost surely, 2341220992 is an apocalyptic number.

341220992 is a gapful number since it is divisible by the number (32) 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 341220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390374400).

341220992 is an abundant number, since it is smaller than the sum of its proper divisors (439527808).

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

341220992 is a wasteful number, since it uses less digits than its factorization.

341220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 341220992 is about 18472.1680373474. The cubic root of 341220992 is about 698.7876921306.

The spelling of 341220992 in words is "three hundred forty-one million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 448 458 896 916 1603 1663 1832 3206 3326 3664 6412 6652 7328 11641 12824 13304 14656 23282 25648 26608 29312 46564 51296 53216 93128 102592 106432 186256 205184 212864 372512 380827 745024 761654 1490048 1523308 2665789 3046616 5331578 6093232 10663156 12186464 21326312 24372928 42652624 48745856 85305248 170610496 341220992