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307418940 = 2232531371489
BaseRepresentation
bin10010010100101…
…101011100111100
3210102110111111200
4102110231130330
51112144401230
650301015500
710422006063
oct2224553474
9712414450
10307418940
11148591444
1286b54590
134b8c78ca
142cb851da
151bec7160
hex1252d73c

307418940 has 144 divisors (see below), whose sum is σ = 989264640. Its totient is φ = 77137920.

The previous prime is 307418927. The next prime is 307418953. The reversal of 307418940 is 49814703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (307418927) and next prime (307418953).

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 = 307418895 and 307418904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205716 + ... + 207204.

Almost surely, 2307418940 is an apocalyptic number.

307418940 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 307418940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494632320).

307418940 is an abundant number, since it is smaller than the sum of its proper divisors (681845700).

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

307418940 is a wasteful number, since it uses less digits than its factorization.

307418940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 307418940 is about 17533.3664765213. The cubic root of 307418940 is about 674.9063903109.

The spelling of 307418940 in words is "three hundred seven million, four hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1110 1116 1147 1332 1395 1489 1665 1860 2220 2294 2790 2978 3330 3441 4467 4588 5580 5735 5956 6660 6882 7445 8934 10323 11470 13401 13764 14890 17205 17868 20646 22335 22940 26802 29780 34410 41292 44670 46159 51615 53604 55093 67005 68820 89340 92318 103230 110186 134010 138477 165279 184636 206460 220372 230795 268020 275465 276954 330558 415431 461590 495837 550930 553908 661116 692385 826395 830862 923180 991674 1101860 1384770 1652790 1661724 1707883 1983348 2077155 2479185 2769540 3305580 3415766 4154310 4958370 5123649 6831532 8308620 8539415 9916740 10247298 15370947 17078830 20494596 25618245 30741894 34157660 51236490 61483788 76854735 102472980 153709470 307418940