Search a number
-
+
345351402 = 232112516949
BaseRepresentation
bin10100100101011…
…010010011101010
3220001211200001200
4110211122103222
51201402221102
654134025030
711362303254
oct2445322352
9801750050
10345351402
11167a3a690
12977a8176
1356719356
1433c1acd4
15204bb51c
hex1495a4ea

345351402 has 48 divisors (see below), whose sum is σ = 819655200. Its totient is φ = 104220000.

The previous prime is 345351397. The next prime is 345351427. The reversal of 345351402 is 204153543.

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, 46224 + ... + 53172.

It is an arithmetic number, because the mean of its divisors is an integer number (17076150).

Almost surely, 2345351402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345351402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409827600).

345351402 is an abundant number, since it is smaller than the sum of its proper divisors (474303798).

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

345351402 is a wasteful number, since it uses less digits than its factorization.

345351402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7219 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345351402 is about 18583.6326373505. The cubic root of 345351402 is about 701.5959517719.

It can be divided in two parts, 34535 and 1402, that added together give a cube (35937 = 333).

The spelling of 345351402 in words is "three hundred forty-five million, three hundred fifty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 1506 2259 2761 4518 5522 6949 8283 13898 16566 20847 24849 41694 49698 62541 76439 125082 152878 229317 458634 687951 1375902 1744199 3488398 5232597 10465194 15697791 19186189 31395582 38372378 57558567 115117134 172675701 345351402