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7349940 = 2234513349
BaseRepresentation
bin11100000010011010110100
3111211102020000
4130002122310
53340144230
6421311300
7116321253
oct34023264
914742200
107349940
114170134
122565530
1316a45a0
14d9479a
159a2b60
hex7026b4

7349940 has 120 divisors (see below), whose sum is σ = 24901800. Its totient is φ = 1804032.

The previous prime is 7349921. The next prime is 7349957. The reversal of 7349940 is 499437.

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 6906384 = 666^2 + 2628^2 .

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 = 7349895 and 7349904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20886 + ... + 21234.

It is an arithmetic number, because the mean of its divisors is an integer number (207515).

Almost surely, 27349940 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 7349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450900).

7349940 is an abundant number, since it is smaller than the sum of its proper divisors (17551860).

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

7349940 is a wasteful number, since it uses less digits than its factorization.

7349940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7349940 is about 2711.0772766559. The cubic root of 7349940 is about 194.4290994391.

The spelling of 7349940 in words is "seven million, three hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 349 351 390 405 468 540 585 698 702 780 810 1047 1053 1170 1396 1404 1620 1745 1755 2094 2106 2340 3141 3490 3510 4188 4212 4537 5235 5265 6282 6980 7020 9074 9423 10470 10530 12564 13611 15705 18148 18846 20940 21060 22685 27222 28269 31410 37692 40833 45370 47115 54444 56538 62820 68055 81666 90740 94230 113076 122499 136110 141345 163332 188460 204165 244998 272220 282690 367497 408330 489996 565380 612495 734994 816660 1224990 1469988 1837485 2449980 3674970 7349940