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345213414 = 23471323417
BaseRepresentation
bin10100100100111…
…000100111100110
3220001120122210000
4110210320213212
51201333312124
654131042130
711361160050
oct2444704746
9801518700
10345213414
11167955a47
1297740346
135669b5c0
1433bc28d0
15204906c9
hex149389e6

345213414 has 80 divisors (see below), whose sum is σ = 952082208. Its totient is φ = 91041408.

The previous prime is 345213409. The next prime is 345213439. The reversal of 345213414 is 414312543.

It is a happy number.

345213414 is a `hidden beast` number, since 34 + 5 + 213 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3034 + ... + 26450.

Almost surely, 2345213414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345213414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476041104).

345213414 is an abundant number, since it is smaller than the sum of its proper divisors (606868794).

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

345213414 is a wasteful number, since it uses less digits than its factorization.

345213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23451 (or 23442 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345213414 is about 18579.9196446056. The cubic root of 345213414 is about 701.5024965082.

Adding to 345213414 its reverse (414312543), we get a palindrome (759525957).

The spelling of 345213414 in words is "three hundred forty-five million, two hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 14742 23417 46834 70251 140502 163919 210753 304421 327838 421506 491757 608842 632259 913263 983514 1264518 1475271 1826526 1896777 2130947 2739789 2950542 3793554 4261894 4425813 5479578 6392841 8219367 8851626 12785682 13277439 16438734 19178523 24658101 26554878 38357046 49316202 57535569 115071138 172606707 345213414