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344324640 = 25351165213
BaseRepresentation
bin10100100001011…
…111101000100000
3212222220111121110
4110201133220200
51201121342030
654100023320
711350465632
oct2441375040
9788814543
10344324640
111673a9220
1297391b40
1356449bba
1433a30a52
15203671b0
hex1485fa20

344324640 has 96 divisors (see below), whose sum is σ = 1183242816. Its totient is φ = 83471360.

The previous prime is 344324639. The next prime is 344324641. The reversal of 344324640 is 46423443.

It is an interprime number because it is at equal distance from previous prime (344324639) and next prime (344324641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3443246402 = 237118915422259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344324598 and 344324607.

It is not an unprimeable number, because it can be changed into a prime (344324641) 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, 27327 + ... + 37886.

It is an arithmetic number, because the mean of its divisors is an integer number (12325446).

Almost surely, 2344324640 is an apocalyptic number.

344324640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344324640 is an abundant number, since it is smaller than the sum of its proper divisors (838918176).

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

344324640 is a wasteful number, since it uses less digits than its factorization.

344324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65242 (or 65234 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 344324640 is about 18555.9866350458. The cubic root of 344324640 is about 700.8999581153.

The spelling of 344324640 in words is "three hundred forty-four million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 65213 130426 195639 260852 326065 391278 521704 652130 717343 782556 978195 1043408 1304260 1434686 1565112 1956390 2086816 2152029 2608520 2869372 3130224 3586715 3912780 4304058 5217040 5738744 6260448 7173430 7825560 8608116 10434080 10760145 11477488 14346860 15651120 17216232 21520290 22954976 28693720 31302240 34432464 43040580 57387440 68864928 86081160 114774880 172162320 344324640