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3434496 = 21131343
BaseRepresentation
bin1101000110100000000000
320110111020120
431012200000
51334400441
6201340240
741123052
oct15064000
96414216
103434496
111a3642a
121197680
13933360
146558d2
1547c966
hex346800

3434496 has 96 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1032192.

The previous prime is 3434489. The next prime is 3434581. The reversal of 3434496 is 6944343.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (31104) is a multiple of the sum of its prime factors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79851 + ... + 79893.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

Almost surely, 23434496 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 3434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

3434496 is an abundant number, since it is smaller than the sum of its proper divisors (6655584).

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

3434496 is a wasteful number, since it uses less digits than its factorization.

3434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3434496 is about 1853.2393261530. The cubic root of 3434496 is about 150.8762929907.

The spelling of 3434496 in words is "three million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 512 516 559 624 688 768 832 1024 1032 1118 1248 1376 1536 1664 1677 2048 2064 2236 2496 2752 3072 3328 3354 4128 4472 4992 5504 6144 6656 6708 8256 8944 9984 11008 13312 13416 16512 17888 19968 22016 26624 26832 33024 35776 39936 44032 53664 66048 71552 79872 88064 107328 132096 143104 214656 264192 286208 429312 572416 858624 1144832 1717248 3434496