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34446916 = 2272389601
BaseRepresentation
bin1000001101100…
…1111001000100
32101211002021201
42003121321010
532304300131
63230152244
7565536220
oct203317104
971732251
1034446916
1118498529
12b652684
1371a10ba
144809780
153056761
hex20d9e44

34446916 has 48 divisors (see below), whose sum is σ = 72817920. Its totient is φ = 13939200.

The previous prime is 34446887. The next prime is 34446917. The reversal of 34446916 is 61964443.

It is a super-2 number, since 2×344469162 = 2373180043822112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34446917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57016 + ... + 57616.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 234446916 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 34446916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408960).

34446916 is an abundant number, since it is smaller than the sum of its proper divisors (38371004).

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

34446916 is a wasteful number, since it uses less digits than its factorization.

34446916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 34446916 is about 5869.1495124933. The cubic root of 34446916 is about 325.3744512477.

The spelling of 34446916 in words is "thirty-four million, four hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 89 92 161 178 322 356 601 623 644 1202 1246 2047 2404 2492 4094 4207 8188 8414 13823 14329 16828 27646 28658 53489 55292 57316 96761 106978 193522 213956 374423 387044 748846 1230247 1497692 2460494 4920988 8611729 17223458 34446916