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307194240 = 2735193829
BaseRepresentation
bin10010010011110…
…110100110000000
3210102001002021110
4102103312212000
51112120203430
650252123320
710420052013
oct2223664600
9712032243
10307194240
11148448641
1286a66540
134b849552
142cb2737a
151be807b0
hex124f6980

307194240 has 128 divisors (see below), whose sum is σ = 985442400. Its totient is φ = 81395712.

The previous prime is 307194211. The next prime is 307194253. The reversal of 307194240 is 42491703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 307194198 and 307194207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370146 + ... + 370974.

Almost surely, 2307194240 is an apocalyptic number.

307194240 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 307194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492721200).

307194240 is an abundant number, since it is smaller than the sum of its proper divisors (678248160).

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

307194240 is a wasteful number, since it uses less digits than its factorization.

307194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 307194240 is about 17526.9575226278. The cubic root of 307194240 is about 674.7419150517.

The spelling of 307194240 in words is "three hundred seven million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 320 384 386 480 579 640 772 829 960 965 1158 1544 1658 1920 1930 2316 2487 2895 3088 3316 3860 4145 4632 4974 5790 6176 6632 7720 8290 9264 9948 11580 12352 12435 13264 15440 16580 18528 19896 23160 24704 24870 26528 30880 33160 37056 39792 46320 49740 53056 61760 66320 74112 79584 92640 99480 106112 123520 132640 159168 159997 185280 198960 265280 318336 319994 370560 397920 479991 530560 639988 795840 799985 959982 1279976 1591680 1599970 1919964 2399955 2559952 3199940 3839928 4799910 5119904 6399880 7679856 9599820 10239808 12799760 15359712 19199640 20479616 25599520 30719424 38399280 51199040 61438848 76798560 102398080 153597120 307194240