Search a number
-
+
340077948 = 223719720551
BaseRepresentation
bin10100010001010…
…010110101111100
3212200220202020120
4110101102311330
51144024443243
653425014540
711266420620
oct2421226574
9780822216
10340077948
11164a68661
1295a84450
13555c0c72
1433247180
151ecc8c83
hex14452d7c

340077948 has 48 divisors (see below), whose sum is σ = 911522304. Its totient is φ = 96667200.

The previous prime is 340077937. The next prime is 340077961. The reversal of 340077948 is 849770043.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

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, 6273 + ... + 26823.

It is an arithmetic number, because the mean of its divisors is an integer number (18990048).

Almost surely, 2340077948 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 340077948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455761152).

340077948 is an abundant number, since it is smaller than the sum of its proper divisors (571444356).

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

340077948 is a wasteful number, since it uses less digits than its factorization.

340077948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20762 (or 20760 counting only the distinct ones).

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

The square root of 340077948 is about 18441.2024553715. The cubic root of 340077948 is about 698.0065379256.

The spelling of 340077948 in words is "three hundred forty million, seventy-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 1182 1379 2364 2758 4137 5516 8274 16548 20551 41102 61653 82204 123306 143857 246612 287714 431571 575428 863142 1726284 4048547 8097094 12145641 16194188 24291282 28339829 48582564 56679658 85019487 113359316 170038974 340077948