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344322396 = 223211869501
BaseRepresentation
bin10100100001011…
…111000101011100
3212222220101112100
4110201133011130
51201121304041
654100005100
711350456245
oct2441370534
9788811470
10344322396
111673a7570
1297390790
1356448b82
1433a2dccc
15203666b6
hex1485f15c

344322396 has 36 divisors (see below), whose sum is σ = 949496184. Its totient is φ = 104340000.

The previous prime is 344322383. The next prime is 344322409. The reversal of 344322396 is 693223443.

344322396 is a `hidden beast` number, since 344 + 3 + 223 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (344322383) and next prime (344322409).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3443223963 (a number of 27 digits) contains 333 as substring.

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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 344322396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434355 + ... + 435146.

It is an arithmetic number, because the mean of its divisors is an integer number (26374894).

Almost surely, 2344322396 is an apocalyptic number.

344322396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344322396 is an abundant number, since it is smaller than the sum of its proper divisors (605173788).

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

344322396 is a wasteful number, since it uses less digits than its factorization.

344322396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869522 (or 869517 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 344322396 is about 18555.9261692862. The cubic root of 344322396 is about 700.8984354990.

The spelling of 344322396 in words is "three hundred forty-four million, three hundred twenty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 869501 1739002 2608503 3478004 5217006 7825509 9564511 10434012 15651018 19129022 28693533 31302036 38258044 57387066 86080599 114774132 172161198 344322396