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350780076 = 2232531571171
BaseRepresentation
bin10100111010000…
…111101010101100
3220110001110210200
4110322013222230
51204244430301
654450233500
711456403303
oct2472075254
9813043720
10350780076
11170008299
1299585890
135789a29a
143483143a
1520bdec86
hex14e87aac

350780076 has 72 divisors (see below), whose sum is σ = 909954864. Its totient is φ = 113892480.

The previous prime is 350780021. The next prime is 350780081. The reversal of 350780076 is 670087053.

350780076 is a `hidden beast` number, since 3 + 507 + 80 + 0 + 76 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 350780076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298971 + ... + 300141.

It is an arithmetic number, because the mean of its divisors is an integer number (12638262).

Almost surely, 2350780076 is an apocalyptic number.

350780076 is a gapful number since it is divisible by the number (36) 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 350780076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454977432).

350780076 is an abundant number, since it is smaller than the sum of its proper divisors (559174788).

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

350780076 is a wasteful number, since it uses less digits than its factorization.

350780076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 350780076 is about 18729.1237381785. The cubic root of 350780076 is about 705.2530493449.

The spelling of 350780076 in words is "three hundred fifty million, seven hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 157 159 212 314 318 471 477 628 636 942 954 1171 1413 1884 1908 2342 2826 3513 4684 5652 7026 8321 10539 14052 16642 21078 24963 33284 42156 49926 62063 74889 99852 124126 149778 183847 186189 248252 299556 367694 372378 551541 558567 735388 744756 1103082 1117134 1654623 2206164 2234268 3309246 6618492 9743891 19487782 29231673 38975564 58463346 87695019 116926692 175390038 350780076