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307768146 = 23737732713
BaseRepresentation
bin10010010110000…
…010101101010010
3210110010020112020
4102112002231102
51112242040041
650312312310
710424662140
oct2226025522
9713106466
10307768146
111487aa844
12870a2696
134b9ba83a
142cc36590
151c045866
hex12582b52

307768146 has 64 divisors (see below), whose sum is σ = 732649728. Its totient is φ = 84354048.

The previous prime is 307768133. The next prime is 307768147. The reversal of 307768146 is 641867703.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 307768098 and 307768107.

It is not an unprimeable number, because it can be changed into a prime (307768147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112086 + ... + 114798.

It is an arithmetic number, because the mean of its divisors is an integer number (11447652).

Almost surely, 2307768146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307768146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366324864).

307768146 is an abundant number, since it is smaller than the sum of its proper divisors (424881582).

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

307768146 is a wasteful number, since it uses less digits than its factorization.

307768146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 307768146 is about 17543.3219773223. The cubic root of 307768146 is about 675.1618421254.

The spelling of 307768146 in words is "three hundred seven million, seven hundred sixty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 37 42 73 74 111 146 219 222 259 438 511 518 777 1022 1533 1554 2701 2713 3066 5402 5426 8103 8139 16206 16278 18907 18991 37814 37982 56721 56973 100381 113442 113946 198049 200762 301143 396098 594147 602286 702667 1188294 1386343 1405334 2108001 2772686 4159029 4216002 7327813 8318058 14655626 21983439 43966878 51294691 102589382 153884073 307768146