Search a number
-
+
346030804 = 227314373127
BaseRepresentation
bin10100101000000…
…000001011010100
3220010010012000201
4110220000023110
51202040441204
654200350244
711401133110
oct2450001324
9803105021
10346030804
11168364079
1297a75384
13568c6672
1433d56740
15205a29a4
hex14a002d4

346030804 has 96 divisors (see below), whose sum is σ = 746848256. Its totient is φ = 137168640.

The previous prime is 346030787. The next prime is 346030819. The reversal of 346030804 is 408030643.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724589 + ... + 2724715.

Almost surely, 2346030804 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 346030804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373424128).

346030804 is an abundant number, since it is smaller than the sum of its proper divisors (400817452).

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

346030804 is a wasteful number, since it uses less digits than its factorization.

346030804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 346030804 is about 18601.9032359595. The cubic root of 346030804 is about 702.0557283486.

The spelling of 346030804 in words is "three hundred forty-six million, thirty thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 31 43 62 73 86 124 127 146 172 217 254 292 301 434 508 511 602 868 889 1022 1204 1333 1778 2044 2263 2666 3139 3556 3937 4526 5332 5461 6278 7874 9052 9271 9331 10922 12556 15748 15841 18542 18662 21844 21973 27559 31682 37084 37324 38227 43946 55118 63364 64897 76454 87892 97309 110236 129794 152908 169291 194618 259588 287401 338582 389236 398653 574802 677164 681163 797306 1149604 1185037 1362326 1594612 2011807 2370074 2724652 2790571 4023614 4740148 5581142 8047228 11162284 12358243 24716486 49432972 86507701 173015402 346030804