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306734320 = 2455373991
BaseRepresentation
bin10010010010000…
…110010011110000
3210101011201101101
4102102012103300
51112010444240
650234214144
710413125104
oct2222062360
9711151341
10306734320
11148164042
1286884354
134b7180c9
142ca47904
151bdde39a
hex124864f0

306734320 has 80 divisors (see below), whose sum is σ = 737309952. Its totient is φ = 118609920.

The previous prime is 306734293. The next prime is 306734339. The reversal of 306734320 is 23437603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309025 + ... + 310015.

Almost surely, 2306734320 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 306734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368654976).

306734320 is an abundant number, since it is smaller than the sum of its proper divisors (430575632).

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

306734320 is a wasteful number, since it uses less digits than its factorization.

306734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 306734320 is about 17513.8322476835. The cubic root of 306734320 is about 674.4050138772.

The spelling of 306734320 in words is "three hundred six million, seven hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 73 80 106 146 212 265 292 365 424 530 584 730 848 991 1060 1168 1460 1982 2120 2920 3869 3964 4240 4955 5840 7738 7928 9910 15476 15856 19345 19820 30952 38690 39640 52523 61904 72343 77380 79280 105046 144686 154760 210092 262615 289372 309520 361715 420184 525230 578744 723430 840368 1050460 1157488 1446860 2100920 2893720 3834179 4201840 5787440 7668358 15336716 19170895 30673432 38341790 61346864 76683580 153367160 306734320